Observer metameric failure compensation method

ABSTRACT

A method for color correcting an input color image having input color values adapted for display on a reference display device having a plurality of input color primaries to account to provide reduced observer metemaric failure on a narrow-band display device. A metamerism correction transform is applied to the input color image to determine an output color image having output color values in an output color space appropriate for display on the narrow-band display device. The metamerism correction transform modifies colorimetry associated with the input colors to provide output color values such that an average observer metameric failure is reduced for a distribution of target observers.

CROSS-REFERENCE TO RELATED APPLICATIONS

This is a continuation of U.S. application Ser. No. 13/559,638 filedJul. 27, 2012 (Allowed), the entire contents of which is herebyincorporated by reference.

Reference is also made to commonly assigned, co-pending U.S. patentapplication Ser. No. 13/559,647 filed Jul. 27, 2012 (allowed), entitled“Observer Metameric Failure Reduction Method”; and to commonly assigned,co-pending U.S. Pat. No. 8,941,678 issued Jan. 27, 2015, entitled“Display System Providing Observer Metameric Failure Reduction,” each ofwhich is incorporated herein by reference.

FIELD OF THE INVENTION

The present invention relates to the field of digital display systemswith narrow-band primaries, and more particularly to methods forreducing the experience of observer metameric failure.

BACKGROUND OF THE INVENTION

The motion picture industry is presently transitioning from traditionalfilm based projectors to digital or electronic cinema. This trend isaccelerating due to the popularity of 3-D movies. Even as digital cinemaprojection has matured and succeeded, largely based on the use of thewell-known Digital Light Projection (DLP) technology, the promise of afurther evolution to laser-based projection has been hovering in thebackground. Laser projection, whether for digital cinema, homeprojection, or other markets, has long been held back due to the costand complexity of the laser sources, particularly in the green and bluespectral bands. As the necessary lasers are now becoming increasinglymature and cost competitive, the potential benefits expected from laserprojection, including the larger color gamut, more vivid, saturated andbrighter colors, high contrast, and low cost optics are increasinglybeing realized. An exemplary system is described in the paper “ALaser-Based Digital Cinema Projector”, by B. Silverstein et al. (SIDSymposium Digest, Vol. 42, pp. 326-329, 2011).

Additionally, other commonly recognized laser projection problems,including the reduction of the visibility of laser speckle and themanagement of laser safety to reduce eye exposure risk or hazardpotential, are increasingly being addressed in a satisfactory manner. Asthese issues are resolved, other less recognized issues will becomeincreasingly important. As one example, image displays withnarrow-bandwidth light sources, including lasers, can suffer fromobserver metameric failure, such that individual viewers can perceivesignificantly different colors.

In the field of color science, metamerism is the visual perception ofcolor matching for color stimuli having different spectral powerdistributions. Two stimuli that have the same broadband spectral powerdistribution are said to be isomers, and will generally be seen asidentical color matches by all observers. Whereas, two colors thatappear identical to an observer but which have different spectral powerdistributions are called metamers. Due to differences in spectralsensitivity among observers, a metamer for one observer may not be ametamer for all observers. The greater the spectral differences betweena pair of metameric stimuli, the more sensitive the color perception ofthat metameric pair will be to any changes in the illuminant, materialcompositions, observers, or field of view.

As can then be anticipated, there are various circumstances in which thespectral differences of a nominal metameric pair can lead to metamericfailure, in which the expected color match is no longer perceived. As afirst example, observer metameric failure (sometimes referred to asobserver color perception variability) occurs when the color of twoobjects, or two elements in a displayed image, are perceived differentlyby two or more observers in the same viewing conditions. Observermetameric failure occurs because the optical system of the eyes, thecolor receptor response, and neural color processing varies amongindividuals. As another example, illuminant metameric failure occurswhen colors match under one light source, but not another. For example,two color patches with different reflectance spectra can appear to beidentical, providing the same color appearance when viewed underdaylight illumination. However, then when viewed under fluorescentillumination, the color patches can appear differently, even to a singleobserver. Conditions of metameric failure are further defined to includefield-size metameric failure and geometric metameric failure. Field-sizemetameric failure occurs because the relative proportions of the threecone types in the retina vary from the center to the periphery of thevisual field. This is exemplified by the differences observed in the CIEstandard observer color matching functions for 2° and 10° viewing fields(see FIG. 1B). Therefore, colors that match when viewed as very small,centrally fixated areas can appear different when presented over largecolor areas. Geometric metameric failure can occur when two samplesmatch when viewed from one angle, but fail to match when viewed from adifferent angle. For the purposes of the present invention, observermetameric failure and illuminant metameric failure are of predominantinterest.

One method to prevent metameric failure from occurring is to constructcolor imaging systems based on spectral color reproduction. Such systemswould be based on the principle of isomers, with the relative spectralpower distribution of scene color being carefully captured and thenreproduced. A famous example is the Lippmann two-step method ofphotography introduced in 1891, in which color images were made andviewed essentially using spectral color reproduction, or regeneration ofthe captured scene's wavelength spectrum. However, such systems arecomplex, radiometrically inefficient, and sensitive to viewing angles.Therefore they have never come into wide use.

The fact that the human visual system has only three types of conephotoreceptors makes it possible for two stimuli to match in perceivedcolor without having identical spectral power distributions, and thusmetameric color matching occurs. In particular, each type of cone, red(long), green (medium), or blue (short), responds to the cumulative orintegrated energy from a broad range of wavelengths. As a result,different combinations of light across all wavelengths can produce anequivalent receptor response. As long as the integrated responses of thethree cone types are equal, for one spectrum compared to another, thestimuli will represent a metameric match, and will have the sameperceived color to the observer.

Most practical color imaging systems use a limited set of colorants(typically three or four) and rely on the phenomenon of metamerism toproduce color images having the desired color appearance, even thoughthe reproduced color spectra will generally not match the original colorspectra. The comparative amounts of the colorants provided by the colorimaging system are adjusted to produce a color which will appear toclosely match the original scene color. Modern color imaging systems areoptimized to provide close color matches between the original and thereproduction for as many important colors as possible, relative to astandard observer, or set of observers.

As suggested previously, the phenomenon of metamerism, in which colormatches occur despite spectral differences, is prone to failure. Ingeneral, metamerism depends on the interaction of the light sourcespectrum with the spectral reflectance/transmittance properties of thematerials illuminated with the light, and the spectral response of theobserver (or the camera sensor). Color perception among color normalobservers varies depending on pre-retinal filtering in the optical media(cornea, lens, and humors), macular photo pigment density, conedistribution differences, color neural processing differences, anddifferences in cone spectral sensitivity. Human color perception can bemeasured using color matching functions (CMFs), which vary amongindividuals and are known to change with age. FIG. 1A illustrates twentysets of color matching functions 300 measured for a set of differentindividuals having “normal” color vision, for 10° observational fields,using data from Table 1(5.5.6) in the book “Color Science” by Wyszeckiand Stiles (2nd Ed., John Wiley & Sons, New York, pp 817-822, 1982). Inparticular, FIG. 1A shows that color sensitivity can vary significantlyamong individual observers, with significant local variations of 5-10%or more at many wavelengths.

The Commission International de l'Eclairage (CIE) has documented colormatching functions for two different standard observers: a 2° 1931 CIEstandard observer and a 10° 1964 CIE standard observer. FIG. 1B comparesthe CIE 2° color matching functions 300 a and CIE 10° color matchingfunctions 300 b. It is noted that the CIE 10° color matching functions300 b deviate from the CIE 2° color matching functions 300 a in each ofthe red, green, and blue portions of color space, but the biggestdifferences occur in blue portion of color space. In particular, thelargest differences occur in the blue (<500 nm), as the blue (short)color matching function response peaks ˜10% higher for the CIE 10° colormatching functions 300 b compared to the CIE 2° color matching functions300 a. Additionally, both the green (middle) and red (long) colormatching functions crosstalk into the blue spectral range, and the colorresponse differences between the respective CIE 2° color matchingfunctions 300 a and the CIE 10° color matching functions 300 b arelarger in the blue than in many portions of the red and green colorspectra. In particular, above 540 nm, the blue color matching functionlacks significant response with only two color matching functions (redand green) contributing significantly to the perception of colorsamples, the color differences between these cones being comparativelysmaller. Also, the presence of the short wavelength “blue” cones is verysmall in the fovea and increases on the periphery. These differencesreflect the fact that metameric color perception differences can beobserved for different observational field sizes and can vary withwavelength.

Under normal circumstances, for example in daylight viewing conditions,the most common source of observer metameric failure is colorblindness(i.e., impaired color vision) among one or more observers. However, asthe spectral properties of a light source or an object's reflectivitynarrow and become more complex, and lack spectral color diversity,significant observer metameric failure can occur even amongstindividuals who are considered to have normal color vision.

Systems (e.g., displays) that utilize narrow-band color primaries aremost susceptible to observer metameric failure effects. Therefore, itcan be anticipated that viewers of laser based displays, includingdigital laser projectors, and other displays with narrow spectrumprimaries (such as LEDs), may experience observer metameric failure.While the expanded color gamut that laser displays can offer has beeneagerly anticipated, in reality, it will include many wide-gamut colorsthat are not only outside of a conventional film or CRT display colorgamut, but which are also seldom seen in nature. As a result,differences in color perception among observers of such very saturatedcolors at or near the gamut boundary may be hard to describe orquantify. On the other hand, color perception differences amongobservers for gamut colors of typical devices, and particularly formemory colors, such as sky blue, skin tones, or grass greens, whichoccur minimally with broadband light sources, can occur more frequentlyand dramatically with narrow-band light sources like lasers.

In the case of digital cinema, significant differences in colorperception among expert observers viewing content involving memorycolors in a color suite or screening room, may lead to significantdissatisfaction. For example, one expert observer may state that adisplayed skin tone looks too green, while another may state that itlooks too red. In such settings, problems can also emerge when comparingthe narrow-band or laser displays to a broadband display that is anaccepted standard. Moreover, even if a group of expert observers aresatisfied, some members of a broader audience may not be, and suchexperiences may lead to dissatisfaction that may ultimately affectmarketplace success of a narrow-bandwidth display technology.

Some approaches to mitigate the problem of observer metameric failurehave been previously suggested or demonstrated. As an example, Thorntonand Hale, in the paper “Color-imaging primaries and gamut as prescribedby the human visual system” (Proc. SPIE, Vol. 3963, pp. 28-35, 2000),consider the problem of observer metameric failure reduction for anadditive color display systems having three narrow-band primaries (Δλ˜10nm full-width-half-maximum (FWHM)). The authors proposed that to reducethe effects of observer metameric failure, the color primaries shouldpreferentially be close to the so-called “prime wavelengths” (450, 540,and 610 nm) which are at or near the peaks of the three spectralsensitivities of the normal human visual system. Thornton et al. are notclear about how much improvement their method would be expected toyield. The Thornton prime wavelength primaries are overlaid on the colormatching functions 300 in FIG. 1A as Thornton red laser primary 432,Thornton green laser primary 434 and Thornton blue laser primary 436.Also shown for comparison are a typical set of laser primaries for theexemplary laser projection system described in the aforementioned paperby Silverstein et al., including red laser primary 422, green laserprimary 424 and blue laser primary 426.

In a more recent paper, “Minimizing observer metamerism in displaysystems,” by Ramanath, (Color Research and Application, Vol. 34, pp.391-398, 2009), observer metameric failure for different types ofdisplays having three primaries is examined. In particular, Ramanathexplores the comparative occurrence of observer metameric failure amongdifferent electronic display devices, including CRT displays, LCD, DLPand LED based displays, a CCFL (cold cathode fluorescent lamp) baseddisplay, and a laser display. Ramanath concludes that observer metamericfailure can occur more frequently, and provide greater perceived colordifferences, as the display spectrum narrows (smaller FWHM) or thenumber of modes in the display spectrum increases. As a result, thelaser display and CCFL display, which lack spectral color diversity dueto narrow or multi-modal spectra, have a high propensity to causeobserver metameric failure. By comparison, the CRT and lamp based DLPdisplays, which have broad primaries (Δλ≈60-70 nm FWHM), exhibit lowpotential for observer metameric failure. In the case of laser displays,where the spectral bandwidths can easily be 2 nm or less in width, asmall expansion of the lasing bandwidths, at the cost of a small colorgamut decrease, would provide a reasonable trade-off if observermetameric failure is significantly decreased. However, Ramanath foundthat spectral distributions with moderate FWHM bandwidths (Δλ˜28 nm),such as LED illuminated displays, can still produce significantperceptible observer metameric failure, suggesting that reductions inobserver metameric failure may not come quickly with increases inspectral bandwidth.

Ramanath also builds on the work of Thornton, and provides a modeled“ideal” set of primary spectral power distributions (SPDs) for a threeprimary display having primaries with spectral peaks close to theThornton primaries, that may reduce the difference between the colorsseen by a reference observer and a non-reference observer. Inparticular, Ramanath proposes that three broadband color channels orprimaries, a blue primary with peak power at 450 nm and a bandwidth ofΔλ˜49 nm, a green primary with peak power at 537 nm and a bandwidth ofΔλ˜80 nm, and a red primary with peak power at 615 nm and a bandwidth ofΔλ˜56 nm, will provide the least susceptibility to observer metamericfailure. However, taken together, these two papers suggest that a threeprimary display having color spectra with preferential locations perThornton, but moderate bandwidths (e.g., Δλ˜30 nm) will still exhibitsignificant metameric failure among observers. Thus, the guidance forminimizing observer metameric failure in a system with threenarrow-bandwidth primaries is even less clear.

Other researchers have suggested that observer metamerism can be reducedby using more than three color primaries or color channels. In the paper“A multiprimary display: discounting observer metamerism” (Proc. SPIE,Vol. 4421, pp. 898-901, 2002), Konig et al. describe an image displaysystem having six primaries that is used to display metamers and reduceobserver metameric failure. This paper states that imaging systemshaving only three color signals as input (e.g. RGB values or L*a*b*values) cannot produce color reproductions that are precise for allhuman observers, as information is not available on how differentobservers perceive the original color. That is, the color visionresponse of the human visual system for an observer cannot be directlymeasured to determine how the primaries can be optimized. By comparison,the authors propose that a multiprimary display having more than threeprimaries introduces additional degrees of freedom for displaying agiven color, such that perceptual color differences can be reduced foreach observer. In particular, Konig et al. find that a multispectraldisplay having more than three broadband primaries can provide both alarge color gamut and the spectral control to reproduce color for eachpixel by spectral color reproduction, such that observer metamericfailure is minimized. An exemplary multi-spectral display is described,using two LCD projectors that provided overlapped images to a screen,that together provide an extended color gamut. This display has sixbroad bandwidth (Δλ˜40-100 nm FWHM) primaries, where one projectorprovides RGB images, and the second provides CMY images.

Fairchild and Wyble, in their paper “Mean observer metamerism and theselection of display primaries”, (Proc. 15th Color Imaging Conference,pp. 151-156, 2007), express concern about observer metameric failureoccurring during the use of narrow-band primary displays, such as laserdigital cinema projectors, causing consternation among filmmakers during“image proofing”. This paper models and compares differences in colorperception for a display having broad bandwidth RGB primariesapproximated by Gaussians having FWHM bandwidths of Δλ˜100 nm, and asecond display with narrow-band primaries having FWHM bandwidths of Δλ˜5nm, where the peak wavelengths of the color primaries were selected tobe close to Thornton's prime wavelengths (450, 540, and 610 nm). Aftermodeling age- and field-dependent color perception differences in termsof color matching functions (CMFs) and ΔE* color differences, Fairchildand Wyble conclude that color errors with displays having only threenarrow-band primaries, such as laser projector, will be too large to beacceptable for critical color applications. The authors then suggestthat display manufacturers, in developing displays capable of widercolor gamut and greater luminance contrast, should abandon developmentof such narrow-band primary systems and redirect their efforts tosystems that support spectral color reproduction. In particular, theauthors suggest that emergent displays with large color gamut andenhanced luminance contrast should use multiple (N>3) wide-bandprimaries.

The paper “Display with arbitrary primary spectra” (SID Digest, Vol. 39,pp. 783-786, 2008), by Bergquist, provides an example of amulti-spectral display that attempts to reduce observer metamericfailure. A field-sequential color display is described having atemporally-averaged, modulated array of N=20 Gaussian light sources(such as LEDs), each having FWHM bandwidths of Δλ˜30 nm, to approximatethe spectrum of a color to be reproduced on the display. In this way,Bergquist provides a spectral reproduction system that synthesizes anapproximation of the physical signal rather than emulating the sensationof color using superposition of a reduced set of narrowband primaries.Observer metameric failure is then reduced as compared to colorimetricmatching, as a given observer would find the original scene and itsreproduction to be identical (as the original and reproduced spectra areessentially identical). As a result, good agreement would be found amongmost observers, including many with color vision deficiencies,regardless of their interpretation of the sensation and the name theywould give to a scene color. While the method is successful at reducingobserver metameric failure, it requires many additional channels (N>>3)of color information at the capture stage (multispectral capture), andincreased complexity in signal processing and display. None of thisadditional complexity is readily compatible with the image capture,processing, and display infrastructure of today or of the foreseeablefuture.

As another approach, Sarkar et al., in the paper “Toward reducingobserver metamerism in industrial applications: colorimetric observercategories and observer classification” (Proc. 18th Color ImagingConference, pp. 307-313, 2010), analyzed the Wyszecki and Stiles dataand identified seven distinct groupings or categories of observers, forwhom color vision, as measured by the respective CMFs, is statisticallysimilar. With the goal of reducing observer metameric failure when usingwide gamut displays, the authors suggest that a method forobserver-dependent color imaging can be developed wherein the colorworkflow is tuned to match one of several observer classes. Of course,application of this method requires the classification of observersbased on their color vision. While this approach might work forpersonalized color processing or small groups of people, it would not beextensible to helping the random assemblage of people present in acinematic audience.

U.S. Pat. No. 6,816,284 to Hill et al., entitled “Multispectral colorreproduction system with nonlinear coding,” provides a system thatalters the color data captured by a multi-spectral camera using anencoding method that reduces the large amount of data required torepresent the spectral information without causing a noticeable loss ofthe color information visible to an observer. As such, this patent isenabling data friendly spectral color reproduction as a means forreducing observer metameric failure when using N≧4 multi-primarydisplays.

Commonly assigned U.S. Pat. No. 7,362,336 to Miller et al., entitled“Four color digital cinema system with extended color gamut and copyprotection,” discloses a multi-primary display having N≧4 narrow-bandcolor channels that uses metameric matching to provide copy protection.In particular, it provides that selective rendering of portions of animage or image sequence can provide metameric matches by using thedifferent combinations of primaries to provide the same color, but withvarying spectral compositions, on a frame to frame basis. As such, thealtered image portions can look similar to the human observers, but willlook different to cameras that can be used to illicitly capture imagesfrom a projection or video screen. This approach exploits a special caseof “observer” metameric failure that occurs between people and camerasto achieve the desired effect of copy protection, rather than reducingthe occurrence of observer metameric failure among human observers.

In summary, while observer metameric failure has been identified as aproblem that can affect display systems using narrow-band primaries,adequate solutions have not yet been suggested, particularly fordisplays having three primaries. The primaries used for the laserprojection systems have narrow spectral bands. This leads to anincreased color gamut and capacity to display highly saturated colors.At the same time, compared with existing reference displays, metamericmismatches are more frequent. Similarly, issues related to observermetameric failure in laser projection displays have also beendocumented.

The solutions offered to date are either incomplete, or require largernumbers of primaries (N>3) that preferentially have much wider spectrathan lasers have, or require observer color matched displays. Thus,there remains a need for design approaches or operational methods thatsignificantly reduce observer metameric failure for displays usingnarrow-band primaries without requiring observer-dependent color tuningor more than three primaries.

SUMMARY OF THE INVENTION

The present invention represents a method for color correcting a colorimage to account for color vision characteristics associated with a setof target observers in preparation for displaying the color image on acolor display device having a plurality of device color primaries, atleast one of the device color primaries being a narrow-band primary,comprising:

receiving an input color image in an input color space, the input colorimage having input color values and being adapted for display on areference color display device having a plurality of input colorprimaries having associated input color primary spectra;

using a data processing system to apply a metamerism correctiontransform to the input color image to determine an output color imagehaving output color values in an output color space appropriate fordisplay on the color display device, the output color image having aplurality of output color channels, each of the output color channelsbeing associated with one of the device color primaries, wherein themetamerism correction transform modifies colorimetry associated with theinput colors to provide output color values such that an averageobserver metameric failure is reduced for a distribution of targetobservers; and

storing the output color image in a processor accessible memory.

This invention has the advantage that observer metameric failureassociated with color display devices using narrow-band primaries can besubstantially reduced for a set of target observers.

It has the additional advantage that digital images adapted to bedisplayed on conventional display devices using wide-band primaries canbe corrected for display on color display devices using narrow-bandprimaries to compensate for average perceived color shifts that resultfrom observer metameric failure.

It has the further advantage that color dithering can be used to providecolor diversity to further reduce observer metameric failure artifacts.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1A depicts color matching function data for 20 observers;

FIG. 1B depicts the 1931 CIE 2° color matching functions and the 1964CIE 10° color matching functions;

FIG. 2 depicts an audience of observers viewing a projected image;

FIG. 3 depicts an exemplary optical system for a laser projector;

FIG. 4 depicts a data path for a laser projector system;

FIG. 5 depicts exemplary projection spectra;

FIG. 6 depicts exemplary device color primaries and color gamuts;

FIGS. 7A, 7B, 7C and 7D, provide plots indicative of perceived colordifferences resulting from observer metameric failure for a set ofobservers viewing white, sky blue, grass green and skin tone imagecontent, respectively;

FIG. 8A is a data flow diagram for a conventional color managementmethod;

FIGS. 8B-8D are data flow diagram for color management methods providingobserver metameric failure correction in accordance with embodiments ofthe present invention;

FIG. 9A depicts a method for determining a metamerism correction inaccordance with an embodiment of the present invention based on adistribution of perceived color shifts associated with metamerismcorrection for a set of target observes;

FIG. 9B depicts a method for determining a metamerism correction inaccordance with an embodiment of the present invention based on adistribution of matching colors for a set of target observes;

FIG. 10A shows an exemplary distribution of perceived color shiftsdetermined relative to the CIE 2° color matching functions for a magentainput color;

FIG. 10B shows average perceived color shifts determined for a set ofdifferent input colors relative to the CIE 2° color matching functions;

FIG. 10C shows a contour plot for color differences corresponding to theaverage magnitudes of the perceived color shifts in FIG. 10B;

FIG. 11A shows an exemplary distribution of perceived color shiftsdetermined relative to the CIE 10° color matching functions for amagenta input color;

FIG. 11B shows a contour plot for color differences corresponding to theaverage magnitudes of the perceived color shifts determined relative tothe CIE 10° color matching functions;

FIG. 12 shows a transition zone between an inner color gamut and anextended color gamut zone;

FIG. 13 is a flow chart of a method for determining a corrected outputcolor in accordance with the present invention;

FIG. 14 illustrates exemplary transition functions useful for the methodof FIG. 13;

FIGS. 15A and 15B depict frame and sub-frame timing diagrams,respectively;

FIG. 16 illustrates a set of dithering colors arranged on a ditheringlocus around a target color;

FIG. 17 depicts a set of target colors, each having an associated set ofdithering colors;

FIGS. 18A-18D illustrate exemplary sets of dithering colors arrangedaround white, sky blue, grass green and skin colored target colors,respectively; and

FIG. 19 depicts exemplary wide color gamuts for projection of images inaccordance with the present invention.

It is to be understood that the attached drawings are for purposes ofillustrating the concepts of the invention and may not be to scale.

DETAILED DESCRIPTION OF THE INVENTION

In the following description, some embodiments of the present inventionwill be described in terms that would ordinarily be implemented assoftware programs. Those skilled in the art will readily recognize thatthe equivalent of such software may also be constructed in hardware.Because image manipulation algorithms and systems are well known, thepresent description will be directed in particular to algorithms andsystems forming part of, or cooperating more directly with, the methodin accordance with the present invention. Other aspects of suchalgorithms and systems, together with hardware and software forproducing and otherwise processing the image signals involved therewith,not specifically shown or described herein may be selected from suchsystems, algorithms, components, and elements known in the art. Giventhe system as described according to the invention in the following,software not specifically shown, suggested, or described herein that isuseful for implementation of the invention is conventional and withinthe ordinary skill in such arts.

The invention is inclusive of combinations of the embodiments describedherein. References to “a particular embodiment” and the like refer tofeatures that are present in at least one embodiment of the invention.Separate references to “an embodiment” or “particular embodiments” orthe like do not necessarily refer to the same embodiment or embodiments;however, such embodiments are not mutually exclusive, unless soindicated or as are readily apparent to one of skill in the art. The useof singular or plural in referring to the “method” or “methods” and thelike is not limiting. It should be noted that, unless otherwiseexplicitly noted or required by context, the word “or” is used in thisdisclosure in a non-exclusive sense.

For a variety of reasons, including improving light efficiency,expanding color gamut, increasing light source lifetime and reducingongoing replacement costs, there is increasing impetus to replace thetraditional lamps (such as xenon arc, tungsten halogen and UHP lamps)with solid state light sources (such as lasers or LEDs) in projectorsand displays. Until recently, the desire for laser-based projectionsystems has been unfulfilled, in part as compact, robust,low-to-moderate cost, visible wavelength laser technologies had notemerged in a commercializable form, particularly for green and blue.However, with the recent emergence of blue diode lasers and compactgreen SHG lasers, low cost, laser based, pico-projectors from companiessuch as Microvision (Redmond, Wash.) are reaching the market place.

In parallel, similar obstacles for compact high power visible laserscapable of supporting digital cinema projection have also started todisappear, as companies such as Laser Light Engines (Salem, N.H.) andNecsel (Milpitas, Calif.) have demonstrated prototype or early productlaser devices. For example, Necsel (previously known as Novalux) offersgreen (532 nm) and blue (465 nm) laser arrays, each of which provides3-5 Watts of optical output power. At these power levels, and allowingfor system efficiency losses, a modest sized projector (˜1200 lumensoutput) for a large conference room or a home theatre, can be achievedusing a single laser device per color. However, in the case of cinema,the on-screen luminance can require 10,000-40,000 lumens or 40-170 Wattsor more of combined optical power (flux) incident to the screen,depending on screen size and screen gain. Presently, these power levelsare achieved by optically combining the output of multiple laser arraysin each color channel.

In order to better understand the present invention, it is instructiveto describe the overall context within which apparatus and methods ofthe present invention can be operable. As shown in FIG. 2, an audienceof observers 60 in a theater 50 views an image 195 formed with imagelight 175 from projector 100 that is imaged onto a display surface 190.The projected image typically comprises a 2-D array of image pixels (notshown), each having a specified color and luminance for a frame time. Asthe color perception is variable among the observers 60, as for exampledescribed by the different sets of color matching functions 300 of FIG.1A, then observer metameric failure can occur as the projected imagesare viewed. This is particularly true if projector 100 uses threenarrow-bandwidth spectral primaries based on lasers, LEDs, or othernarrow-band light sources. Within the context of the present invention,narrow-band light sources are considered to be light sources havingfull-width half-maximum (FWHM) spectral bandwidths of not more than ˜30nm. Likewise, wide-band light sources are considered to be light sourceshaving full-width half-maximum (FWHM) spectral bandwidths of at least˜45 nm, where the spectral bandwidths of wide-band displays generallyfall in a range ˜45-90 nm. Displays with intermediate bandwidth lightsources (with spectral bandwidths of ˜25-50 nm) can still benefit fromthe methods of the present invention for reducing the impact of observermetameric failure, although to a lesser extent. The intermediatebandwidth range can partially overlap with either the narrow bandwidthor wide bandwidth spectral ranges, as the metameric failuresusceptibility can depend on the details of the spectral structure(e.g., spectral mode structure).

The schematic diagram of FIG. 3 shows an exemplary arrangement for aprojector 100 in accordance with the present invention having threenarrow-band primaries (λ_(b), λ_(g), λ_(r)). Red, green and blueillumination assemblies 110 r, 110 g and 110 b are shown, providing red,green and blue (RGB) primary colors from respective red, green and bluelaser light sources 120 r, 120 g and 120 b. This system is similar tothat described in the aforementioned Silverstein et al. paper. Each ofthe red, green and blue laser light sources 120 r, 120 g and 120 b willinclude one or more light source devices, which are typicallymulti-emitter laser array devices. For example, the red laser lightsource 120 r can comprise multiple (for example 12) semiconductor laserarrays, which are assembled to provide a narrow-band primary (2) for ared color channel. In some embodiments, the red laser light source 120 rcan use multiple Mitsubishi ML5CP50 laser diodes, each emitting ˜6 Wattsof optical flux at ˜638 nm from an array of 12 laser emitters.Similarly, the green laser light source 120 g and the blue laser lightsource 120 b can each comprise a plurality of laser devices. Forexample, in some embodiments, the green laser light source 120 g can usea NECSEL-532-3000 green visible array package that nominally emits 3-4Watts of 532 nm light in 48 beams, distributed as 24 beams from each oftwo rows of beams. Similarly, in some embodiments, the blue laser lightsource 120 b can use a NECSEL-465-3000 blue visible array package thatnominally emits 3-4 Watts of 465 nm light, also in 48 beams, distributedas 24 beams from each of two rows of beams. In each case, the respectivelaser light source assemblies can include lenses, mirrors, prisms, orother components (not shown) to provide laser beam shaping anddirectional control to fashion an array of emergent beams that exit anaperture of a housing, as input into the rest of the illuminationsystem.

It should be understood that at present, the power levels needed fordigital cinema can be accomplished cost effectively by opticallycombining the output of multiple laser arrays in each color channel,using free space optics or fiber coupling, to provide a system such asthat of FIG. 3. Eventually, laser technology may advance such that afew, modest cost, compact laser devices can drive each color. Fiberlasers may also be developed that are appropriate for this application.Of course, each approach has its advantages and disadvantages, relativeto trade-offs of simplicity, cost, and vulnerability to laser failure.

In a given color channel, the light beams emerging from a laser lightsource assembly encounter further portions of the respective red, greenand blue illumination assemblies 110 r, 110 g and 110 b, which caninclude various illumination lenses 145, a light integrator 150, one ormore mirrors 155, and other illumination optics 140 such as filters,polarization analyzers, wave plates, apertures, or other elements asrequired. A polarization switching device (not shown), or other optics,to enable 3D projection, can also be included with the projector.

As then shown in FIG. 3, illumination light 115 from the light sourceassemblies is directed onto respective spatial light modulators 170 byredirection with one or more mirrors 155. Modulated image light 175,bearing image data imparted into the transiting light by the addressedpixels of the spatial light modulators 170 is combined using a combiner160 (such as a dichroic combiner) to traverse a common optical axis 185passing through imaging optics 180 and onto display surface 190 (such asa projection screen). The display surface 190 is typically a white mattescreen that approximates a Lambertian diffuser, or a gain screen thatback reflects light in a narrower cone (e.g., with a gain of g˜2.4).Gained screens can be curved, fabricated with complex surfacestructures, can maintain polarization to aid 3-D projection, and have awhite or neutral (slightly gray) spectral reflectance. In theillustrated embodiment, the combiner 160 comprises a first combiner 162and a second combiner 164, each of which is a dichroic element or filterhaving appropriate thin film optical coatings that selectively transmitsor reflects light according to its wavelength.

It should be understood that mirrors 155 need not lie in the plane ofthe optical system. Thus the mirror 155 in the optical path for thegreen channel can be out of plane, and not obstructing image light 175passing to imaging optics 180, as might be otherwise implied by FIG. 3.Additionally, while combiner 160 is shown as a pair of tilted glassplates, other exemplary constructions can be used, including X-prisms,V-prisms, or Philips (or Plumbicon) type prisms. In other embodiments,mirrors 155 can also be provided in the form of prisms, such as thewidely used TIR (total internal reflection) prism that is often used incombination with the Philips prism and DLP devices.

In FIG. 3, the imaging optics 180 are depicted symbolically by a singlelens element. In practice, the imaging optics 180 are a multi-elementassembly comprising multiple lens elements that directs and focusesimage light 175 such that it images spatial light modulators 170 attheir respective object planes along optical axis 185 to an image plane(display surface 190) at high magnification (typically 100×-400×).Imaging optics 180 can be fixed focus or zooming optics, and can whollycomprise transmissive elements (e.g., lenses) or reflective elements(e.g., imaging mirrors), or can be catadioptric, including bothtransmissive and reflective elements. The imaging optics 180 typicallycomprise projection optics (e.g., a projection lens including aplurality of lens elements) that form an image of the modulators ontothe screen. In some embodiments, imaging optics 180 can also includerelay optics (e.g., a relay lens including a plurality of lens elements)that creates a real aerial image at an intermediate image plane, whichis then subsequently imaged to the screen by the projection optics. Insome embodiments, a de-speckling device, to reduce the visibility oflaser speckle, can be provided in the optical path. In someconfigurations, it is advantageous to locate the de-speckling device ator near the intermediate image plane.

In a preferred embodiment, the spatial light modulators 170 of projector100 are Digital Light Processor (DLP) or Digital Micro-mirror Devices(DMDs), developed by Texas Instruments, Inc., Dallas, Tex. The DLPdevice uses pulse width modulation (PWM) control of the pixels ormicro-mirrors to impart image data information to the transiting light.However, in other embodiments, other technologies can also be used forthe spatial light modulators 170, including transmissive liquid crystaldisplays (LCDs) or reflective liquid crystal on silicon (LCOS) devices,which typically alter polarization states of the transiting light toimpart the image data information therein.

FIG. 4 shows an exemplary schematic of a data path 200 that providesimage data to projector 100, and which enables the metameric failurereduction method of the present invention. An image file package 210 canbe delivered in a memory to the theatre or other venue, as a set of datafiles that are compressed, encrypted and packaged for distribution. Thisimage file package 210 can also include audio files and sub-title files,provided according to the Digital Cinema Distribution Master (DCDM)specifications, or in other formats. These files are accessed by datainput interface 220, and subsequently decrypted and decompressed asappropriate, by data decryption 230 and data decompression 235processors. Image processor 240 can prepare the image data files fordisplay by applying various processing operations, including imagecorrections provided by image corrector 245 and metameric colorcorrections provided by metameric color corrector 250. The imagecorrections applied by the image corrector 245 can include operationssuch as uniformity corrections, and color/tone scale corrections. Theimage processor 240 will generally perform its processing operations inresponse to appropriate parameters and look-up tables (LUTs) that areprovided as inputs.

The resulting processed images are stored in a frame buffer 260 or someother processor accessible memory, which then provides the image data tothe projector 100 to be projected to the display surface 190. Theprojector 100 includes combiner 160 for combining imaging light from thedifferent color channels and imaging optics 180 for projecting theimaging light onto the display surface 190, as well as other componentssuch as light sources that are not shown in FIG. 4. (Refer to FIG. 3 formore details of other components typically included in projector 100.)

On a per frame or sub-frame basis, synchronized by modulator timingcontrol 265, image data is fed from the frame buffer 260 to the spatiallight modulators 170 to provide image modulation on a per pixel basis.In some embodiments, the data path 200 can reside in whole, or in part,within the housing of projector 100.

With respect to color perception, including color gamut and metamericfailure, the center or peak wavelengths and the spectral bandwidths ineach color channel are important parameters. In accordance with thepresently available laser technology, the nominal projector wavelengthsused in projector 100 are commonly 465 nm, 532 nm and 638 nm (see redlaser primary 422, green laser primary 424 and blue laser primary 426 inFIG. 1A), which are significantly offset from the potentially optimalThornton primaries of 450 nm, 540 nm and 610 nm (see Thornton red laserprimary 432, Thornton green laser primary 434 and Thornton blue laserprimary 436 in FIG. 1A) that were discussed earlier.

Depending on the technology, given laser devices have a device specificbandwidth (Δλ₂), and a collection of devices of that type will have in alarger bandwidth range (Δλ₁). Referring to the red laser light source120 r in FIG. 3, in some embodiments, individual red laser devices areused having peak emission wavelengths in the spectral range fromXλ632-645 nm, or Δλ₁˜13 nm, with 640 nm being the typical wavelength,while the typical spectral band width for a given laser is ←λ₂˜2 nmFWHM. Similarly, in some embodiments the green laser light source 120 gin FIG. 3 uses Novalux Extended Cavity Surface Emitting Laser (NECSEL™)green lasers, which have center wavelengths in the range of λ˜527-537 nm(quoted Δλ₁˜6 nm), with a given device having a typical peak wavelengthof 532 nm and a typical FWHM spectral bandwidth of Δλ₂˜0.2 nm. Likewise,in some embodiments the blue laser light source 120 b in FIG. 3 usesNECSEL™ blue lasers having center wavelengths in the range of 460-470 nm(quoted Δλ₁˜6 nm), with a typical peak wavelength of 465 nm and atypical FWHM spectral bandwidth of Δλ₂˜0.2 nm.

FIG. 5 shows three spectral power distributions: an exemplary laserprojection spectrum 420, an exemplary film projector spectrum 400, andan exemplary digital cinema projector spectrum 410. The laser projectionspectrum 420 depicts a set of representative laser sources useful inprojector 100 including spectra for the red laser primary 422 providedby the red laser light source 120 r which corresponds to a red colorchannel, the green laser primary 424 provided by the green laser lightsource 120 g which corresponds to a green color channel, and the bluelaser primary 426 provided by the blue laser light source 120 b whichcorresponds to a blue color channel. (The exemplary set of laser primaryspectra in FIG. 5 is not necessarily intensity balanced to produce aparticular color or white point, but rather primarily indicate spectrallocation.) For each color channel, the laser primary spectra associatedwith illumination assemblies including a plurality of individual laserdevices will typically have a FWHM bandwidth within a range of Δλ₁˜5-15nm, with individual laser devices having much narrower emissionbandwidths (e.g., Δλ₂˜0.2-2 nm).

The larger bandwidth associated with use of multiple laser devices percolor channel, can help to reduce both observer metameric failure andspeckle perception. In exchange for these benefits, a modest color gamutloss results. However, in practice, the lasers can have a statisticaldistribution of center wavelengths that is appreciably narrower thanthis potential spectral range Δλ₁ (e.g., about 3-7 nm). Additionally, asnoted previously, Ramanath has suggested that even the yet widerspectral bandwidths typical of LEDs (Δλ˜30 nm FWHM) can still causesignificant observer metameric failure. Thus, relying on using anensemble of lasers having a distribution of peak emission wavelengthswill likely not reduce the occurrence of observer metameric failuresufficiently to be satisfactory, particularly for projectors or displayswith only three color primaries (i.e., three color channels). Moreover,methods for reducing the occurrence or magnitude of observer metamericfailure for observers 60 can be valuable for displays having one or morecolor primaries having spectral bandwidths of Δλ˜30 nm or less.

Also shown for comparison on FIG. 5 are an exemplary film projectorspectrum 400 which represents the illumination to the print film from axenon arc lamp that was filtered to remove both UV and IR light. In afilm based projector, this spectrum is subsequently modulated on alocalized image content basis by the transmission spectra of the red,green, and blue film dyes. The illustrated digital cinema projectorspectrum 410 is associated with a conventional projector having a xenonarc lamp light source, which is dichroically split to form red, green,and blue color primaries, which together comprise spectrum 410. Thedigital cinema projector spectrum 410 is typical of that provided aBarco digital cinema projector, such as the model DP-1500 projector.Each color primary has a broadband spectrum (e.g., Δλ˜68 nm FWHM, orΔλ˜89 nm FW 1/e²). The light in each of these color primaries isdirected to an associated spatial light modulator that imparts imagedata into the light associated with that color channel. It can be seenthat the film projector spectrum 400 and the digital cinema projectorspectrum 410 do not include the narrow spectral peaks associated withthe laser projector spectrum 420, and will therefore not suffer from thehigh susceptibility to observer metameric failure.

One common way to represent color is using a CIE x,y chromaticitydiagram 320, as depicted in FIG. 6. In this diagram, colors are plottedusing x,y chromaticity coordinates, which can be calculated from CIE XYZtristimulus values using the following equations:

$\begin{matrix}{{x = \frac{X}{X + Y + Z}}{y = \frac{Y}{X + Y + Z}}} & (1)\end{matrix}$

The theory of the CIE XYZ system is that if two colors have the same XYZvalues (and the same viewing conditions), the patches will visuallymatch if the XYZ values match. Since the x,y chromaticity coordinatesrepresent only two color dimensions, they are not capable of fullydescribing a color. In particular, while the x,y chromaticitycoordinates can provide an indication of the hue and saturation of acolor, they do not provide any indication of luminance. Typically, the Ytristimulus value, which represents perceived luminance, is usedtogether with the x,y chromaticity coordinates to fully specify a coloras a set of x,y,Y color coordinates. Other color spaces that arecommonly used to represent color are the well-known CIELAB and CIELUVcolor spaces.

In FIG. 6, the outer curved boundary is the “horseshoe-shaped” spectrumlocus 325, which corresponds to the pure monochromatic colors of thevisible spectrum. As shown by the labeled wavelengths, the spectrumlocus 325, proceeds from blue colors at the lower left corner throughgreen colors at the top to red colors at the lower right corner. Thespectrum locus 325 represents the boundary of the color gamut of thehuman visual system, and encompasses the entire range of colors that arevisible to a human observer. The straight edge on the lower part of thegamut boundary is called the line of purples 327 or the purple boundary.(These colors are not part of the spectrum locus 325 and are notprovided by monochromatic emitters.)

One characteristic of the CIE x,y chromaticity diagram 320 is that acolor that is formed by a mixture of two colors will have chromaticitycoordinates that fall along the straight line that connects thechromaticity coordinates for the two colors that are being mixed. Sinceadditive color imaging devices, such as CRTs and laser projectors,produce images by forming mixtures of a set of color primaries, thecolor gamuts of these devices will be given by a triangle on the CIE x,ychromaticity diagram 320, with the color primaries being located at thecorners of the triangle. A wide-band color gamut 330 is shown on FIG. 6,corresponding to a set of wide-band color primaries (i.e., red primary331, green primary 332 and blue primary 333). These primaries and theirassociated color gamut are typical of those provided by the phosphorsused in a typical CRT monitor or television. Similarly, a laser primarycolor gamut 335 is also shown in FIG. 6, which corresponds to the set oftypical laser projector color primaries that were discussed earlier(i.e., red laser primary 422, green laser primary 424 and blue laserprimary 426).

As expected, both the laser primary color gamut 335, and the smallerconventional wide-band color gamut 330 are contained within spectrumlocus 325. As accustomed as people are to using CRT displays, few areaware of the limited color gamut they have. For example, while importantmemory colors like neutrals (e.g., white color coordinate 340), skyblues (e.g., sky blue color coordinate 342) and skin tones (e.g., skintone color coordinate 346) can be rendered, greens are limited, and manygrass green colors (e.g., grass green color coordinate 344) cannot bereproduced. (With modern LCD displays, the available color gamut can beof comparable size to the wide-band color gamut 330, or a bit larger,but may be somewhat shifted, allowing grass green type colors to berendered.)

It has been estimated that the gamut of colors present in natural scenesis about 30% of the theoretical maximum of ˜2.3 million discerniblecolors for all of color space. However, when the lightness (Y) dimensionis ignored, there are only about 26,000 naturally-occurringperceptually-different colors. The number of memory colors is muchsmaller. They are colors, like the colors of grass, sky and autumnleaves, which are processed by the human visual system (HVS) and storedas memories.

By comparison, the spectrum locus 325 comprises monochromatic colors,which can only be produced by lasers, or an arc lamp, such as amercury-vapor lamp with selected narrow emission spectra, or a lightsource filtered with narrow spectral bandpass filters. In the case ofthe representative laser primary color gamut 335, these monochromaticcolors occur at the corners, where the laser primaries (e.g., 465 nm,532 nm, and 638 nm) intersect the spectrum locus 325. The perceivedcolors along the spectrum locus 325, including those corresponding tothe red, green, and blue laser primaries 422, 424 and 436, are seldomseen in nature and are not memory colors. The most prominent exceptionis in the yellows, where some naturally occurring yellow colors are veryclose to the spectrum locus 325. However, in general, differences inperception of these highly saturated monochromatic colors along thespectrum locus 325 are less likely to cause angst among observers 60, inpart because a language to precisely describe or compare these colors islacking Other colors that are near the spectrum locus 325, though notactually on it, such as a green near the 520 nm spectrum locus point,but having a very small blue or red additive color contribution, arespectrally impure or polychromatic, but can still be very saturated widegamut colors that are also not memory colors. However, as the additivecontributions of the three primaries tend to equalize, the colors tendto move towards center, and critical or widely recognized colors (suchas turquoise, cranberry red or pumpkin orange), including memory colorssuch as sky blue, grass green, and skin tones are produced. So while agroup of observers 60 (FIG. 2) viewing a display that can produce a widecolor gamut (e.g., laser primary color gamut 335) can experiencesignificant observer metameric failure when viewing colors at or nearthe spectrum locus 325, high levels of dissatisfaction are most likelyto occur when the observers 60 view commonly experienced colors ormemory colors.

As discussed previously, prior approaches for reducing observermetameric failure in displays with narrow-bandwidth primaries featurepreferential spectral locations for the primaries, or the use of amulti-primary (N>3) display, preferentially having at least moderatelybroad bandwidths 30 nm) in the N color channels. As the multi-primarydisplay infrastructure for capturing image content, transmitting theresulting data, and displaying it is not well-established, and asthree-primary laser-based projectors and displays are developingrapidly, there is a need for solutions for reducing observer metamericfailure for such N=3 primary displays.

A comparative analysis of color perception for observers viewing aconventional digital cinema projector and a laser projector 100 furtherillustrates the problem of observer metameric failure. A set of targetcolors, including sky blue, grass green, skin tone, gray and white, wasdefined having specified CIE x,y chromaticity coordinates which areshown in Table 1, together with corresponding Digital Cinema InitiativeDistribution Master (DCDM) code values.

TABLE 1 Target color values. Patch x y Y DCDM X′ DCDM Y′ DCDM Z′ White0.314 0.351 0.880 3612 3770 3803 Gray 0.314 0.351 0.113 1637 1709 1679Sky Blue 0.225 0.265 0.184 1939 2066 2658 Skin 0.403 0.377 0.281 24942431 1973 Grass Green 0.227 0.464 0.085 1166 1534 1311

The projectors were modeled using both the wide-bandwidth digital cinemaprojector spectrum 410 and the narrow-bandwidth laser projector spectrum420 shown in FIG. 5. The color values associated with each of the targetcolors were translated into corresponding light intensities that wouldproduce the desired color values for a standard observer for therespective color primaries for the conventional digital cinema projectorand the laser projector. The resulting intensity modulated spectra forboth projectors were then analyzed for individual color perception usinga set of observer-specific color matching functions 300 to determinecorresponding perceived XYZ tristimulus values for each individualobserver.

Color difference values between the perceived colors for the twoprojectors were calculated for each individual observer in terms ofchromaticity differences:

Δx _(i) =x _(i,n) −x _(i,b)

Δy _(i) =y _(i,n) −y _(i,b)   (2)

where (x_(i,n), y_(i,n)) are chromaticity values for thenarrow-bandwidth laser projector for the ith observer, (x_(i,b),y_(i,b)) are chromaticity values for the conventional wide-bandwidthdigital cinema projector for the ith observer, and (Δx_(i), Δy_(i)) arethe chromaticity differences for the ith observer. (In some embodiments,a luminance difference ΔY_(i)=Y_(i,n)−Y_(i,b) can also be defined toaccount for any differences in the luminance perception.) By definition,the CIE standard observer should perceive colors having the same CIEcolorimetry XYZ input color values, no matter whether the spectralsource providing the colors has a broadband spectrum (e.g., 410) or anarrow band spectrum (e.g., 420). Thus, if a particular observerperceived the colors in the same way as the standard observer, then theresulting color differences would be zero. A non-zero color differencevalue for a particular observer provides an indication of the magnitudeand direction of the perceived color shift, resulting from observermetameric failure that occurs when the particular observer views thenominally identical color pair provided by wide-bandwidth andnarrow-bandwidth projectors.

FIGS. 7A-7D show chromaticity difference plots 350 for the white, skyblue, grass green and skin target colors from Table 1, respectively. Theset of observer-specific color matching functions used in this analysisincluded the 10° color matching functions 300 from the Wyszecki andStiles data shown in FIG. 1A, as well as a set of 2° color matchingfunction data from Stiles and Burch, published in detail by Trezona inthe article “Individual observer data for the 1955 Stiles-Burch 2° pilotinvestigation” (J. Opt. Soc. Am. A., Vol. 4, pp. 769-782, 1987). The aimchromaticity difference 370 would be Δx=0, Δy=0, corresponding to thecase where there is no observer metamerism failure, and therefore thecolors produced by the two projectors would appear to have the identicalchromaticities to the observers. Each of the plotted data pointscorresponds to the chromaticity difference for a particular observer. Anaverage chromaticity difference 352 is shown on each of the chromaticitydifference plots 350, corresponding to an average color shift 355 of theperceived laser projector color relative to the perceived conventionaldigital cinema projector color. In general, the 2° observer data pointscluster closer to the origin (the aim chromaticity difference 370) thando the 10° observer data points.

Considering the results shown in FIGS. 7A-7D, it can be seen that thereis a significant amount of variation in the observer metamerism failurecharacteristics for each of the different observers. However, in eachcase, there is a systematic bias to the cloud of data points, suggestingthat most observers would tend to view the laser projector colors asbeing more yellow-green than the corresponding conventional digitalcinema projector color having the identical colorimetry (e.g., identicalCIE XYZ values) if they were viewed side by side. This is consistentwith experimental observations made by the inventors using the projectordescribed in the aforementioned article by Silverstein et al. Thissuggests that the average amount of observer metemaric failure can besignificantly reduced by introducing color corrections (i.e., colorshifts in the blue-magenta direction) to the displayed colors on thelaser projector to compensate for the average color shift 355. Whilethis will not reduce the size of the differences between the responsesof the different observers, it can eliminate the systematic bias thathas been observed between the perceived colors on a laser projector anda conventional digital cinema projector.

FIGS. 8A-8D illustrate a framework within which color corrections can beapplied to image data originally prepared for use with a wide-banddisplay device to adapt it for use with a narrow-band display devicesuch that an average observer metameric failure is reduced for adistribution of target observers.

FIG. 8A shows a conventional color management method 440 to transforminput color values 450 (R_(W), G_(W), B_(W)) adapted for display on awide-band display device to provide output color values 454 (R_(W),G_(W), B_(W)) adapted for display on a narrow-band display device.

An input device model 451 (D_(W)) for the wide-band display device isused to transform the input color values 450 to correspondingdevice-independent color values 452. Methods for forming such devicemodels are well-known in the color management art. Typically thedevice-independent color values 452 will be in a standard CIE colorspace such as the well-known CIE XYZ or CIELAB color spaces. In someembodiments, the input device model 451 includes a set ofone-dimensional nonlinear functions (e.g., “gamma functions”) that areapplied to the input color values 450, and a 3×3 phosphor matrixtransformation that is used account for the colors of the input devicecolor primaries. Such models generally work well for additive displaydevices such as conventional wide-band digital projection systems. Insome embodiments, the input device model 451 may include other types oftransform elements such as a multi-dimensional look-up table (LUT) or aparametric model such as a polynomial function.

An inverse output device model 453 (D_(N) ⁻¹) for the narrow-banddisplay device is used to determine the output color values 454 neededto produce the device-independent color values 452 on the narrow-banddisplay device. In some embodiments, the inverse output device model 453includes a 3×3 inverse phosphor matrix transformation that is usedaccount for the colors of the output device color primaries, and a setof one-dimensional nonlinear functions (e.g., “inverse gammafunctions”). Such models generally work well for additive displaydevices such narrow-band laser projection systems. In some embodiments,the inverse output device model 453 may include other types of transformelements such as a multi-dimensional look-up table (LUT) or a parametricmodel such as a polynomial function. In some embodiments, the inputdevice model 451 and the inverse output device model 453 are embodiedusing the well-known ICC color management profile format for use in anICC color management system.

In some embodiments, the input device model 451 and the inverse outputdevice model 453 can be combined to form a composite color transform455. In some embodiments, the composite color transform 455 can beembodied as an ICC device link profile.

FIG. 8B shows a color correction method 442 in accordance with anembodiment of the present invention that incorporates a metamerismcorrection transform 460. The metamerism correction transform 460 isused to transform the device-independent color values 452 to determinecorrected device-independent color values 461 (X_(C), Y_(C), Z_(C)). Aswill be described later, the metamerism correction transform 460 isadapted to provide a reduced average observer metameric failure for adistribution of target observers (for example by applying inverse colorshifts to compensate for the average color shifts 355 shown in FIGS.7A-7D).

The corrected device-independent color values 461 are transformed usingthe inverse output device model 453 to determine corrected output colorvalues 462 (R_(NC), G_(NC), B_(NC)). In some embodiments, the inputdevice model 451, the metamerism correction transform 460 and theinverse output device model 453 can be combined to form a compositemetamerism correction transform 463.

FIG. 8C shows a color correction method 444 in accordance with analternate embodiment of the present invention that incorporates ametamerism correction transform 465. In this case, a conventional colormanagement process (e.g., the color management method 440 shown in FIG.8A) is used to determine output color values 454. The metamerismcorrection transform 465 is then used to make appropriate adjustments tothe output color values 454 to determine the corrected output colorvalues 462. In some embodiments, the input device model 451, the inverseoutput device model 453 and the metamerism correction transform 465 canbe combined to form a composite metamerism correction transform 466.

In some embodiments, images may be provided to the display system (e.g.,projector 100 in FIG. 2) in a device-independent color encoding ratherthan a color encoding associated with a particular display device. Forexample, digital motion pictures are commonly distributed in the form ofdigitally encoded tristimulus values as specified by the DCDM digitalcinema specification. In this case, color transforms are used totransform the input digital image data to the form that is appropriatefor the particular projector. FIG. 8D illustrates an embodiment of thepresent invention where the input image data is received asdevice-independent color values 452 (XYZ). When the image is projectedusing a conventional wide-band display device, a conventional colormanagement method 446 applies an inverse output device model 456 (D_(W)⁻¹) for the wide-band display device is used to determine the outputcolor values 457 needed to produce the device-independent color values452 on the wide-band display device. When the image is projected using anarrow-band display device, a color correction method 448 is applied inaccordance with the present invention where the metamerism correctiontransform 460 and the inverse output device model 453 are used todetermine the appropriate corrected output color values 462 as wasdiscussed earlier with respect to FIG. 8B.

FIG. 9A illustrates an exemplary perceived color shift determinationmethod 540 for determining a metamerism correction 530 for an inputcolor 500 (e.g., a pixel color for an image pixel) that reduces averageobserver metameric failure for a set of target observers. The metamerismcorrection 530 corrects for observer metamerism failure between imagesdisplayed on a conventional wide-band display system using a set ofwide-band primaries 502 (e.g., the primaries shown in the digital cinemaprojector spectrum 410 of FIG. 5) and. images displayed on a narrow-banddisplay system using a set of narrow-band primaries 504 (e.g., the redlaser primary 422, the green laser primary 424 and the blue laserprimary 426 in the laser projector spectrum 420 of FIG. 5). This methodcan be used in the process of defining the metamerism correctiontransform 460 in FIG. 8B or the metamerism correction transform 465 inFIG. 8C.

In the exemplary embodiment, the input color 500 is represented by a setof CIE XYZ tristimulus values. However, in other embodiments the inputcolor 500 can be represented in any appropriate color space, including adevice dependent color space (e.g., device dependent input color values450 in FIGS. 8A-8C).

A determine wide-band spectrum step 552 is used to determine a wide-bandspectrum 508 corresponding to the input color 500. In embodiments wherethe input color is specified in a device-independent color space such asCIE XYZ, the determine wide-band spectrum step 552 determines themagnitudes of each of the wide-band primaries 502 that are required toprovide the specified input color 500. Likewise, a determine narrow-bandspectrum step 510 is used to determine a narrow-band spectrum 512corresponding to the input color 500. The wide-band spectrum 508 and thenarrow-band spectrum 512 will have matching CIE colorimetry, and wouldtherefore match for an observer having color matching functions (CMFs)that exactly match those of the CIE standard observer. However, as wasdiscussed relative to FIGS. 7A-7D, it has been found that populations ofreal observers then to perceive the wide-band spectrum 508 as having ashifted color relative to the narrow-band spectrum 512 as a result ofobserver metameric failure.

To determine an appropriate metamerism correction 530, a set of targetobservers is defined for which the average observer metameric failure isto be reduced. In a preferred embodiment, a set of target observer colormatching functions 514 is specified to characterize the visual responseof the set of target observers, where CMFs_(i) is the set of colormatching functions for the ith target observer. In some embodiments, oneor both of the aforementioned set of 10° color matching functions 300from Wyszecki and Stiles or the aforementioned set of 2° color matchingfunctions from Stiles and Burch that were discussed earlier can be usedto define the set of target observers. In other embodiments, aparticular set of persons that is representative of a target audiencecan be specified for use as the set of target observers. In the limitingcase, the set of target observers can be one particular person so thatthe system performance can be personalized to reduce observer metamerismeffects for that particular person. For example, if the display systemis used in a home environment, the system performance can bepersonalized for the homeowner, or for the set of family members in thehome. In some embodiments, the color matching functions for a pluralityof target observers can be averaged to determine a single set of colormatching functions corresponding to an “average observer” that isrepresentative of the set of target observers. In this case the set oftarget observer color matching functions 514 can include only theaveraged color matching functions.

A determine perceived color step 516 is used to determine a targetobserver perceived wide-band color 518 (XYZ_(W,i)) corresponding to thewide-band spectrum 508 for each of the target observers. In a preferredembodiment, the determine perceived color step 516 determinestristimulus values (XYZ_(W,i)) using the following equations:

X _(W,i) =∫S _(W)(λ) x _(i)(λ)dλ

Y _(W,i) =∫S _(W)(λ) y _(i)(λ)dλ

Z _(W,i) =∫S _(W)(λ) z _(i)(λ)dλ  (3)

where S_(W)(λ) is the wide-band spectrum 508, ( x _(i)(λ), y _(i)(λ), z_(i)(λ)) are the target observer color matching functions for the i^(th)target observer, and (X_(W,i), Y_(W,i), Z_(W,i)) are tristimulus valuesfor the target observer perceived wide-band color 518. Similarly, adetermine perceived color step 520 is used to determine a targetobserver perceived narrow-band color 522 (XYZ_(N,i)) corresponding tothe narrow-band spectrum 512 for each of the target observers.

In general, due to observer metameric failure, the target observerperceived wide-band colors 518 will not match the target observerperceived narrow-band colors 522 for any particular target observer. Adetermine perceived color shift step 524 is used to determine a targetobserver perceived color shift 526 for each of the target observers. Insome embodiments, the target observer perceived color shift 526 isrepresented as a difference between tristimulus values for the targetobserver perceived wide-band colors 518 and the target observerperceived narrow-band colors 522:

ΔX _(i) =X _(N,i) −X _(W,i)

ΔY _(i) =Z _(N,i) −Z _(W,i)

ΔZ _(i) =Z _(N,i) −Z _(W,i)   (4)

where (X_(N,i), Y_(N,i), Z_(N,i)) are tristimulus values for the targetobserver perceived narrow-band color 522 and (ΔX_(i), ΔY_(i), ΔZ_(i)) isthe target observer perceived color shift 526 for the ith targetobserver.

In other embodiments, the target observer perceived color shifts 526 canbe represented using some other color space besides differences oftristimulus values. For example, the tristimulus values can be convertedto chromaticity values (x, y, Y), L*a*b* values or L*u*v* values usingwell-known equations, and the target observer perceived color shift 526can be determined relative to that color space (e.g., ΔE*). Forembodiments where color spaces that determine color values relative to areference white point (e.g., L*a*b* or L*u*v*), an appropriate whitepoint can be defined corresponding to a particular white spectrum (e.g.,a white spectrum associated with a specified white point associated withthe wide-band primaries 502).

The determine metamerism correction step 528 determines an appropriatemetamerism correction 530 responsive to the target observer perceivedcolor shifts 526. In a preferred embodiment, the metamerism correction530 is determined to counteract an average of the target observerperceived color shifts 526:

$\begin{matrix}{{C_{X} = {{- \overset{\_}{\Delta \; X_{i}}} = {{- \frac{1}{N}}{\sum\limits_{i = 1}^{N}{\Delta \; X_{i}}}}}}{C_{Y} = {{- \overset{\_}{\Delta \; Y_{i}}} = {{- \frac{1}{N}}{\sum\limits_{i = 1}^{N}{\Delta \; Y_{i}}}}}}{C_{Z} = {{- \overset{\_}{\Delta \; Z_{i}}} = {{- \frac{1}{N}}{\sum\limits_{i = 1}^{N}{\Delta \; Z_{i}}}}}}} & (5)\end{matrix}$

where N is the number of target observers, and (C_(X), C_(Y), C_(Z)) isthe metamerism correction 530.

FIG. 9B is a flowchart showing a matching color determination method545, which represents an alternate method for determining an appropriatemetamerism correction 530 for the narrow-band primaries 504 according toanother embodiment. In this example, input color 550 is specified interms of control values (RGB_(W)) for the wide-band display device,where the control values are used to control the amplitudes of thecorresponding wide-band primaries 502.

A determine wide-band spectrum step 552 determines a wide-band spectrum508 corresponding to the input color 550. Generally the determinewide-band spectrum step 552 determines the wide-band spectrum by forminga weighted combination of the spectra for the wide-band primaries 502,where the weights are specified by the control values for the inputcolor 550.

As was discussed relative to FIG. 9A, the determine perceived color step516 determines target observer perceived wide-band colors 518 for theset of target observers responsive to the corresponding target observercolor matching functions 514.

A determine matching color step 554 determines a matching output color556 for each of the target observers. In a preferred embodiment, thematching output color 556 is specified by a set of corrected narrow-bandcontrol values (RGB_(NC,i)) for the narrow-band display device whichwill produce a narrow-band spectrum that the target observer willperceive to be a match to the corresponding target observer perceivedwide-band color 518. The narrow-band spectrum is determined by forming aweighted combination of the spectra for the narrow-band primaries 504,where the weights are specified by the narrow-band control values. TheCIE colorimetry associated with the input color 540 and the matchingoutput color 556 will generally be different from each other, reflectingthe fact that the target observers will generally have different colormatching functions than the CIE standard observer. The magnitude of thedifferences in the CIE colorimetry will typically be color dependent,and will be closely related to the target observer perceived colorshifts 526 discussed with reference to the perceived color shiftdetermination method 540 of FIG. 9A.

In a preferred embodiment, the determine matching color step 554determines the matching output color 556 responsive to the targetobserver color matching functions 514. In some implementations, anonlinear optimization technique can be used to iteratively adjust theamounts of the narrow-band primaries 504 until corresponding targetobserver perceived narrow-band colors (XYZ_(N,i)) are equal to thetarget observer perceived wide-band colors 518 (XYZ_(W,i)) to within apredefined tolerance (e.g., 0.00001). In other implementations, aphosphor matrix can be determined for the narrow-band primaries 504 foreach set of target observer color matching functions 514. Methods fordetermining a phosphor matrix given a set of color matching functionsand a set of color primary spectra are well-known in the art. Oncedetermined, the phosphor matrixes can be used to directly determine thematching output color 556 that will match the target observer perceivedwide-band colors 518.

In an alternate embodiment, the determine matching color step 554 can beperformed by performing a visual matching experiment using the set oftarget observers. A first color patch having the input color 550 can bedisplayed on a screen using the wide-band primaries 502. A second colorpatch can be displayed on the screen using the narrow-band primaries504. User controls can be provided that enable a target observer toadjust the amounts of the narrow-band primaries 504 until the targetobserver perceives the second color patch to visually match the firstcolor patch. The resulting amounts of the narrow-band primaries 504 areused to define the matching output color 556. This method, for example,might be practiced by a colorist or cinematographer in preparing contentfor distribution.

A determine metamerism correction step 558 is then used to determine themetamerism correction 530. The metamerism correction 530 can berepresented in many different forms. For example, if the colorcorrection method 444 of FIG. 8C is used to provide the observermetamerism failure correction by adding offsets (R_(N)=R_(NC)+C_(R),G_(N)=G_(NC)+C_(G), B_(NC)=B_(N)+C_(B)) to the output color values 454,then the offsets (AR, AG, AB) for a particular input color 550 can bedetermined by determining averaging observer-specific offsets:

$\begin{matrix}{{{\Delta \; R} = {{- \overset{\_}{\Delta \; R_{i}}} = {{- \frac{1}{N}}{\sum\limits_{i = 1}^{N}{\Delta \; R_{i}}}}}}{{\Delta \; G} = {{- \overset{\_}{\Delta \; G_{i}}} = {{- \frac{1}{N}}{\sum\limits_{i = 1}^{N}{\Delta \; G_{i}}}}}}{{\Delta \; B} = {{- \overset{\_}{\Delta \; B_{i}}} = {{- \frac{1}{N}}{\sum\limits_{i = 1}^{N}{\Delta \; B_{i}}}}}}} & (6)\end{matrix}$

where (ΔR_(i), ΔG_(i), ΔB_(i)) are the observer-specific offsets for theith target observer given by:

ΔR _(i) =R _(NC,i) −R _(N)

ΔG _(i) =G _(NC,i) −G _(N)

ΔB _(i) =B _(NC,i) −B _(N)   (7)

and ( ΔR_(i) , ΔG_(i) , ΔB_(i) ) are the average offsets. The offsetsdetermined in this manner correspond to the centroid of theobserver-specific offsets. In some embodiments, a different type ofcentral tendency measure can be used to combine the observer-specificoffsets. For example, a geometric mean of the observer-specific offsetscan be determined, a median offset can be determined, or a weightedaveraging process can be used to weight some target observers morehighly than others.

The metamerism correction 530 can be converted to any other appropriateform depending on the method used to implement the observer metamerismfailure correction in a particular embodiment (e.g., the methodsdescribed with respect to FIGS. 8B-8D). The methods shown in FIGS. 9A-9Bdescribe how an appropriate metamerism correction 530 can be determinedfor a particular input color 500, 550. These methods can be repeated fora plurality of different input colors 500, 550 to form the metamerismcorrection transform 460, 465 (FIGS. 8B-8D).

The set of input colors used in the formation of the metamerismcorrection transform 460, 465 are preferably a set of colors spanningthe range of colors that are important to a particular application. Insome cases, the set of input colors includes important memory colors,such as those shown in Table 1. In some cases, the set of input colorscan include a set of colors representing the 11 basic color names thatare present in most human languages: white, black, grey, red, green,blue, yellow, brown, purple, orange, and pink. Additionally, acollection of multimedia content can be analyzed to determine frequentlyoccurring color categories using image analysis algorithms, such as forexample, a k-means clustering algorithm, the identified clusters can beincluded in the set of input colors. In yet another embodiment, a listof colors can be chosen based on audience preferences, or other criteriauseful in particular circumstances, such as proofing or calibration withstandardized color targets. By such methods, the collection of correctedcolors can be expanded.

In some cases the set of input colors can include a lattice of inputcolors that systematically samples the wide-band color gamut 330 of thewide-band primary display device. It can also be useful to provideproject specific input colors, including specific wide gamut colors, forparticular image content that are important for realizing the intended“look” of that content.

In some embodiments, the metamerism correction transform 460, 465 is aparametric function having a plurality of parameters (e.g., amulti-dimensional polynomial, or parameters defining a series ofmatrices and 1-D LUTs). In this case, metamerism corrections can bedetermined for a set of different input colors, and a mathematicalfitting process (e.g., a well-known least-squares regression process)can be used to determine the parameters for the parametric function byfitting the set of input color 500, 550 and the corresponding set ofmetamerism corrections 530 or output colors 556.

In other embodiments, the metamerism correction transform 460, 465 is amulti-dimensional LUT that stores output color values (or metamerismcorrection values) corresponding to a lattice of input color values. Inthis case, the lattice of input color values can be used for the inputcolors 500, 550 and the stored output color values can be determined inaccordance with the present invention (for example, using one of themethods shown in FIGS. 9A-9B). Alternately, the values stored in themulti-dimensional LUT can be determined by applying a fitting process tofit a smooth function to the set of input color 500, 550 and thecorresponding set of metamerism corrections 530 or output colors 556.For example, commonly assigned U.S. Pat. No. 4,941,039 to D'Errico,entitled “Color image reproduction apparatus having a least squareslook-up table augmented by smoothing” teaches a method for using aleast-squares fitting process to provide a smooth multi-dimensional LUT.

Consider the case where the perceived color shift determination method540 of FIG. 9A is used to determine the metamerism correction 530. A setof input colors 500 can be evaluated corresponding to a lattice of inputcolor values for the wide-band primaries 502. FIG. 10A shows perceivedcolor shift plot 560 including a set of target observer color vectors565 corresponding to the target observer perceived color shifts 526(FIG. 9A) for an input color 500 (FIG. 9A) in the magenta region ofcolor space. An input color coordinate 562 is shown corresponding to theL*a*b* color of the input color 500 determined using the 1931 CIE 2°color matching functions 300 a (FIG. 1B), indicating how the CIEstandard observer would see this color. The tails of the target observercolor vectors 565 correspond to the target observer perceived wide-bandcolors 518 (FIG. 9A) determined using the target observer color matchingfunctions 514 (FIG. 9A). (The target observer color matching functions514 used in the calculations were the aforementioned set of 10° colormatching functions 300 (FIG. 1A) from Wyszecki and Stiles.) The heads ofthe target observer color vectors 565 (shown using diamond symbols)correspond to the target observer perceived narrow-band colors 522 (FIG.9A) determined using the target observer color matching functions 514.

From FIG. 10A, it can be seen that there is a substantial amount ofvariability in the way that the target observers perceive the colorsproduced using the wide-band and narrow-band primaries, but that, withonly a few exceptions, there is a general agreement that perception ofthe narrow-band colors are shifted in the yellow-green direction (i.e.,in a negative a* and positive b* direction). It is noted that there areseveral outlier color vectors 564 having color shifts that aresignificantly different from the majority of the target observers. Insome embodiments, it may be desirable to remove any outlier targetobservers from the set of target observers in order to avoid biasing thedetermined metamerism corrections 530. An average color vector 568 isshown corresponding to the average magnitude and direction of the targetobserver color vectors 565. (The position of average color vector 568 isoffset from the set of target observer color vectors 565 for clarity.)It can be seen that both the tails and heads of the target observercolor vectors 565 are shifted relative to the input color coordinate562, indicating that none of the target observer color matchingfunctions 514 are very close to the standard 1931 CIE 2° color matchingfunctions 300 a (FIG. 1B).

As mentioned earlier, in some embodiments, the metamerism correction 530can be determined with respect to an average of the color shiftsdetermined for the set of target observers, while in other embodimentsit can be determined for an “average observer” having a set of combinedcolor matching functions corresponding to an average of the targetobserver color matching functions 514. An average observer color vector566 is shown corresponding to the color shift determined for thisaverage observer. It can be seen that the magnitude and direction of theaverage observer color vector 566 is consistent with the general trendobserved for the target observer color vectors 565. In many cases, ithas been found that similar results can be obtained by either averagingthe color shifts determined for the set of target observers to determinethe average color vector 568, or by determining the average observercolor vector 566 using the combined “average observer” color matchingfunctions.

FIG. 10B shows an example of a perceived color shift plot 570 in CIELABcolor space that includes a set of color vectors 575 representingaverage perceived color shifts determined in this manner, where theheads of the vectors are shown using diamond symbols. The tails of thecolor vectors 575 correspond to the input colors 500, and the magnitudeand direction of the color vectors 575 correspond to the average of thetarget observer perceived color shifts 526 (FIG. 9A). The wide-bandprimaries 502 used in this example were those associated with the Barcomodel DP-1500 digital cinema projector, and the narrow-band primaries504 were laser primaries having wavelengths of 465, 532, and 637 nm.

Also shown for reference are several memory colors represented by skyblue color coordinate 342, grass green color coordinate 344 and skintone color coordinate 346. Significant perceived color shifts wereobserved for these memory colors were observed (i.e., sky blue≈4.4 ΔE*,grass green≈2.1 ΔE* and skin∓2.0 ΔE*). Even more dramatic color shiftswere observed for many saturated colors including saturated greens (≈3-4ΔE*), saturated blues (≈4-6 ΔE*), and saturated magentas/violets (≈4-9ΔE*). Color differences determined for many other colors were moremodest (≈1-1.5 ΔE*), including many low saturations reds, yellows andgreens.

It is seen that the color shifts indicated by color vectors 575 aregenerally directed to the upper left, indicating a shift in theperceived color towards a yellow-green direction. The magnitude of thecolor vectors 575 is generally larger in the negative b* portion ofcolor space, indicating that the perceived color shifts are colordependent and are larger in the cyan-blue-magenta color regions thanelsewhere. To compensate for these perceived color shifts, therebyreducing the average amount observer metameric failure, color-dependentcompensating color shifts can be defined for the metamerism correction530. In a preferred embodiment, the color-dependent compensating colorshifts will have the same magnitude as the color vectors 575, but willbe directed in the opposite direction (i.e., in a generally blue-magentadirection).

FIG. 10C shows a perceived color difference plot 580 corresponding tothe perceived color shift plot 570 of FIG. 10A. A target color gamut 585is shown which is preferably slightly smaller than the range of colorsthat can be produced using the wide-band primaries 502 (FIG. 9A) toinsure that all of the enclosed colors can be produced using both thewide-band primaries 502 and the narrow-band primaries 504. Within thetarget color gamut 585, a series of color difference contour lines 590are shown indicating the average magnitudes of the color vectors 575 forthe perceived color shifts in FIG. 10A as a function of a* and b*. Itcan be seen that the magnitude of the perceived color shifts arecolor-dependent and range from about 1 ΔE* to 5 ΔE*.

Taken together, FIGS. 10A-10C show that color dependent differences incolor perception resulting from observer metameric failure can bereduced on average for an audience of observers 60, by applyingmetamerism corrections 530 (FIG. 9A) comprising color-dependentcompensating color shifts to the input image colors that are to bedisplayed by projectors 100 that include one or more narrow-bandprimaries 504. These compensating color shifts would be greatest forblue, violet and magenta colors, and still significant for many greencolors, but less significant (and perhaps unnecessary) for many red,yellow, and orange colors. These compensating color shifts can then beapplied using many different arrangements, including those discussedwith respect to FIGS. 8B-8D.

As noted earlier, neither both the tails and heads of the targetobserver color vectors 565 in FIG. 10A are shifted relative to the inputcolor coordinate 562, reflecting the fact that none of the targetobserver color matching functions 514 (which in this example were theset of 10° color matching functions 300 (FIG. 1A) from Wyszecki andStiles) are very close to the standard 1931 CIE 2° color matchingfunctions 300 a (FIG. 1B). This is not totally surprising because of thedifference in the fields of view (2° vs. 10°). While the 1931 CIE 2°color matching functions 300 a are generally used for digital cinemaapplications since the DCI digital cinema specification is based uponthe 1931 CIE system of colorimetry, in some cases it may be appropriateto consider basing the metamerism correction calculations on the 1964CIE 10° color matching functions 300 b (FIG. 1B). For example, dependingon the distance from the viewer to the screen, the contrast of thecontent being viewed, and the angular size of that content, often timesa viewer's attention will perceive a field much larger than a 2° field.Therefore, the 1964 CIE 10° color matching functions 300 b may representan appropriate metric in some cases.

Considering the 1931 CIE 2° color matching functions 300 a and 1964 CIE10° color matching functions 300 b, in greater detail, as shown in FIG.1B, important differences emerge. It is noted that the CIE 10° colormatching functions 300 b deviate from the CIE 2° color matchingfunctions 300 a in the red, green, and blue regions of the wavelengthspectrum, but the largest differences occur in blue region. Inparticular, it can be seen that the short wavelength color matchingfunction peaks ˜10% higher for the CIE 10° color matching functions 300b compared to the CIE 2° color matching functions 300 a. Additionally,it can be seen that the location of the left edges of the main lobe ofthe long wavelength color matching functions are shifted between therespective CIE 2° color matching functions 300 a and the CIE 10° colormatching functions 300 b. These differences in the color matchingfunctions will result in different metameric characteristics.

Further, it is observed that the short wavelength color matchingfunction is both spectrally narrower by ˜2× (55 nm FWHM for blue, vs.110 nm for green, and 90 nm for red) and higher gained (≈1.68× greaterfor 1931 color matching functions; ≈2× greater sensitivity with 1964color matching functions) compared to the medium and long wavelengthcolor matching functions. Alternately stated, the short wavelength(blue) color matching function slope sensitivity is much higher, andtherefore small variations in the spectra of a narrow-band blue primary,or in an observer color matching function, in the short wavelengthregion can cause larger perceptual differences than in other regions.Indeed, the modeling indicates that small changes in the shortwavelength color matching functions have ˜2× the contribution to theperceived color shifts relative to changes in the medium or longwavelength color matching functions. The comparatively high gain for theshort wavelength (blue) cones likely compensates for their scarcity, asred and green cones predominate, with only ˜5% of retinal cones being ofthe short wavelength (blue) variety. In general, human perception ofblue is inferior to that for red and green image content, relative toresolution, flicker sensitivity, and many other criteria.

In further considering the color matching functions 300 shown in FIG.1A, it is also notable that perception of many bluish colors depends onresponses of all the three color matching functions, whereas for theperception of many green and red colors, the response of the shortwavelength color matching function is a non-factor. Color perception canbe thought of as a differencing mechanism, as represented by opponentmodels of color vision. In particular, the sensation of “blueness” canbe described as the contribution of the short (S) wavelength conesexceeding the sum of the middle (M) and long (L) wavelength cones[S>L+M]. In this context, the color matching functions 300 suggest thatdifferential blue light perception can occur because of significant coneresponse variations among observers for all three cones, whereas for redand green light color perception above 540 nm, essentially only two coneresponses are involved, and they may therefore exhibit smaller perceivedcolor difference variations.

FIG. 11A shows a target observer color vectors 565 analogous to thatshown in FIG. 10A, where in this case the wide-band spectrum 508 (FIG.9A) and the narrow-band spectrum 512 (FIG. 9A) were determined toprovide the input color 500 (FIG. 9A) relative to the 1964 CIE 10° colormatching functions 300 b (FIG. 1B). As with FIG. 10A, the targetobserver color matching functions 514 used in the calculations were theaforementioned set of 10° color matching functions 300 (FIG. 1A) fromWyszecki and Stiles.

Comparing FIG. 10A to FIG. 11A, it can be seen that the tails and headsof the target observer color vectors 565 are shifted closer to the inputcolor coordinate 562, reflecting the fact that the target observer colormatching functions 514 are closer to the standard 1964 CIE 10° colormatching functions 300 b. However, it can be seen that most of thetarget observers still observe a similar color shift in the yellow-greenfor the narrow-band colors relative to the wide-band colors that havethe same CIE colorimetry. Therefore the metamerism corrections 530 (FIG.9A) determined in this case would be similar to those determined usingthe data in FIG. 10A. FIG. 11B shows a perceived color difference plot580 analogous to that shown in FIG. 10C, where the color perceptiondifferences were calculated for input colors that match relative to the1964 CIE 10° color matching functions 300 b. It can be seen that theaverage size of the perceived color differences is somewhat smaller, butthat there is still a substantial amount of average perceived colordifference due to the observer metameric failure. The largest colorperception differences are again present for magenta colors. Thus, ithas been established that observer metameric failure, as characterizedby color-dependent color perception differences, exists regardless ofthe CIE standard observers is used as reference.

The particular set of standard observer color matching functions (300 aor 300 b) and the particular set of target observer color matchingfunctions 514 that are used to determine the metamerism correction 530can be application dependent. In cases where the input colors arespecified with respect to the 1931 CIE system of colorimetry, it willgenerally be appropriate to use the 1931 CIE 2° color matching functions300 a to determine the colorimetrically matching colors. The mostappropriate set of target observer color matching functions 514 can bedependent on the target audience. In some embodiments, several differentmetamerism corrections can be determined using different combinations ofstandard and target observers, and the results can be evaluated using aset of observers to select the preferred amount of correction. Forexample, as human color matching functions can with observer age (e.g.,due to yellowing of the eye lenses), having sets of target-observercolor matching functions 514 that are demographically broad and othersthat are filtered by age (e.g., ≦28 years old, ≧55 years old) may berelevant. Thus, for example, sets of target-observer color matchingfunctions 514 can be developed for demographic sub-groups of targetobservers, such as youth, and then used when displaying content that ispredominately watched by such as an audience. As another example,measurement or assembly of a set of target-observer color matchingfunctions 514 optimized for cinema equivalent viewing conditions canalso account for characteristics such as viewing distances and fieldsize.

The above calculations were performed using the nominal laser primaries(i.e., red laser primary 422 at 637 nm, green laser primary 424 at 532nm and blue laser primary 426 at 465 nm) shown in FIG. 1A. It is notedthat these analyses were also repeated using the alternate Thorntonprimaries shown in FIG. 1A (i.e., Thornton red laser primary 432 at 610nm, Thornton green laser primary 434 at 530 nm and Thornton blue laserprimary 436 at 450 nm). From FIG. 1A, it is seen that the Thornton greenlaser primary 434 and the nominal green laser primary 424 are quitesimilar, (530 nm vs. 532 nm), but that both the Thornton blue laserprimary 436 and the Thornton red laser primary 432 are shifted to lowerwavelengths compared to the exemplary blue laser primary 426 and redlaser primary 422 (450 nm vs. 465 nm, and 610 nm vs. 637 nm,respectively). Although the Thornton primaries align more closely withthe peaks of the three spectral sensitivities of the normal human visualsystem, they also line up comparatively at or near the peaks or maximumdifference in observer variation in color matching functions, comparedto the nominal primaries. As a result, for the analysis using theThornton primaries for the narrow-band primaries 504, it was found thatcolor perception differences followed the same general trends as thoseof FIG. 10B, but the magnitudes were about 2-3× larger. This suggeststhat the use of the Thornton primaries would actually provide greaterobserver metameric failure.

The metamerism corrections 530 determined using the methods discussedabove are based on determining target observer perceived color shifts526 (FIG. 9A) between colorimetrically matching colors displayed usingthe different sets of primaries, or determining narrow-band matchingoutput colors 556 (FIG. 9B) that match wide-band input colors 550. Theseprocesses can only be applied to input colors 500 and 550 that arewithin the color gamuts of both the wide-band primaries 502 and thenarrow-band primaries 504.

There are many colors that are within the narrow-band color gamut (e.g.,the laser primary color gamut 335 of FIG. 6) that are outside of thewide-band color gamut. Therefore, projectors 100 that employ narrow-bandprimaries may be called on to display input colors that cannot bereproduced with conventional systems using wide-band primaries. As aresult, the metamerism correction transform 460 (FIG. 8D) should beadapted to process colors both inside and outside of the color gamutassociated with the wide-band primaries.

The color shifts applied for input colors that are outside of thewide-band primary color gamut can be determined in a variety of ways. Itwill generally be preferable that there be no abrupt changes in theapplied color shifts to avoid contouring artifacts where smalldifferences in the input color produce large perceived differences inthe displayed color. In some embodiments, the metamerism corrections 530determined for colors inside of the wide-band primary color gamut can beextrapolated to those colors that are outside of the wide-band primarycolor gamut. Methods for extrapolating a function are well-known in theart.

FIG. 12 shows a cross-section through CIELAB color space, including aninner color gamut 358, an extended color gamut zone 362 and a transitionzone 360. Preferably, the inner color gamut 358 is a conventional colorgamut corresponding to a particular set of wide-band primaries 502 (FIG.9A). For example, the inner color gamut 358 can correspond to thewide-band color gamut 330 of FIG. 6 (translated to CIELAB). In othercases, inner color gamut 358 can be smaller or larger than theconventional color gamut. In a preferred embodiment, color shifts to beapplied for colors inside the inner color gamut 358 are determined usinga method such as those discussed with respect to FIGS. 9A-9B todetermine appropriate metamerism corrections 530.

For highly saturated colors in the extended color gamut zone 362, nocolor shifts are applied. Such colors are not generally seen in nature,and therefore people typically lack expectations of their colorappearance, or even language or metrics to describe their differentialcolor perceptions. As such, differences in color perception of suchcolors among observers 60 can be acceptable. Furthermore, since thesecolors cannot be produced by the conventional systems, there will be noneed to correct for color perception differences.

Transition zone 360 is preferably provided between the inner color gamut358 and the extended color gamut zone 362 to provide continuity betweenthe color regions. Within the transition zone 360, the color shifts aresmoothly transitioned from the metamerism corrections 530 determined forthe colors within the inner color gamut 358 down to no color shifts inthe extended color gamut zone. The use of the smooth transition avoidsintroducing contouring artifacts where colors that are very close toeach other in an input image are mapped to colors that are far apart inthe displayed image, resulting in a visual discontinuity. Such artifactswould be particularly objectionable for pixels contiguously describingan object (e.g., a ball) locally within the image content. Suchartifacts would be more likely for colors in the blue/magenta/violetportions of color space, where large color dependent color perceptiondifference values (ΔE*) have been found (see FIGS. 10C, 11B).

In some embodiments, the transition zone 360 can extend out a fixeddistance (e.g., 10 ΔE*) from the surface of the inner color gamut 358.In other embodiments, the width of the transition zone 360 can beadjusted according to the characteristics of the metamerism corrections530 applied near the surface of the inner color gamut 358. In someembodiments, the width of the transition zone can be set to be amultiple (M) of the magnitudes of the color shifts being applied at thecorresponding location on the surface of the inner color gamut 358. Forexample, the width of the transition zone 360 can be M×(ΔE*), where M=4.Accordingly, if the color shift at the surface of the inner color gamut358 in a blue hue direction is 5 ΔE*, then the width of the transitionzone can be set to 4×5 ΔE*=20 ΔE*.

FIG. 13 provides an exemplary metameric failure compensation method 600for determining a corrected output color 660 by providing compensatingcolor shifts to an input color 610. The input color 610 is typically acolor value associated with an image pixel an image which is to bedisplayed by the projector 100 (FIG. 3). In a preferred embodiment, theinput color 610 is specified such that it has the desired colorappearance on a display having conventional wide-band primaries 502(FIG. 9A).

In some embodiments, the metameric failure compensation method 600 ofFIG. 13 can be performed by a data processing system within theprojector data path 200 (FIG. 4) of projector 100 (e.g., by themetameric color corrector 250). In other embodiments, the method isperformed ahead of time during the formation of a color transform (e.g.,metamerism correction transform 460 in FIG. 8B), which is stored forapplication to the image data at a later time.

Metamerism correction data 605 provides an indication of appropriatemetamerism corrections 530 (FIG. 9A) determined for colors inside theconventional color gamut test 615 in accordance with the presentinvention using methods such as those described in FIGS. 9A-9B. Aninside conventional color gamut test 615 determines whether the inputcolor 610 is inside the inner color gamut 358 (FIG. 12). If so an applyfull metamerism correction step 620 applies the appropriate metamerismcorrection color shift from the metamerism correction data 605 andapplies it to the input color 610 to determine the corrected outputcolor 660.

The apply full metamerism correction step 620 can apply the metamericcorrections by various mathematical and processing approaches. Forexample, in Section 3.5, of the book Computational Color Technology(Society of Photo-Optical Engineers, Bellingham, Wash., 2006) by H. R.Kang, several methods for applying metameric correction functions aremathematically described. Although Kang does not provide a theory ormodel for determining appropriate metameric corrections, as compared tothe present invention which provides methods for determining suchmetameric corrections, Kang does provide an architecture for applyingcolor corrections to input color data. One of the methods is additivecorrection. In accordance with Kang, the additive correction isperformed in L*a*b* space, where the correction in each color channel isspecified as a color difference vector (ΔL*, Δa*, Δb*). Alternately,Kang provides that a multiplicative correction that can be performed inCIE XYZ tristimulus space. In that case, tristimulus values of the inputcolors are multiplied by a set of ratios. Any of these methods can beused to apply the metamerism corrections of the present invention.

If the image content only includes input colors 610 within the innercolor gamut 358, the corrected image data would consist of pixel datasolely determined using the apply full metamerism correction step 620.If however, the image content includes input colors 610 outside theinner color gamut 358, then image pixels having such colors can besubjected to further analysis. If the inside conventional color gamuttest 615 determines that a particular input color 610 is not inside theinner color gamut 358, an inside transition zone test 625 determineswhether the input color 610 is in the transition zone 360 (FIG. 12). Ifnot, it can be assumed that the input color 610 is in the extended colorgamut zone 362 (FIG. 12). In this case, an apply no metamerismcorrection step 640 sets the corrected output color 660 to be equal tothe input color 610.

If the inside transition zone test 625 determines that the input color610 is in the transition zone 360, an apply partial metamerismcorrection step 630 is used to apply a fraction of the metamerismcorrection at a corresponding point in the surface of the inner colorgamut 358. The partial metamerism correction is then applied to theinput color 610 to determine the corrected output color 660. Atransition function 635 is used to specify an appropriate fraction ofthe metamerism function that should be applied as a function of therelative position of the input color 610 within the transition zone 360.In a preferred embodiment, the transition function 635 linearly tapersthe amount of metamerism correction from 100% at the surface of theinner color gamut 358 down to 0% at the outer surface of the transitionzone 360, where the outer edge is given by the previously definedtransition zone width. In this way, continuity is preserved so thatthere are no abrupt changes in the corrected output color 600.

FIG. 14 shows an example of a linear transition function 670 than can beused for the transition function 635 (FIG. 13). The input to thetransition function 635 is the distance of the input color from theneutral axis of the color space. If the input color is expressed interms of L*a*b* values, the radius is given by the C* value where(C*=(a*²+b*²)^(0.5)). The radius of the inner color gamut 358 at thecorresponding hue and lightness is given by C*_(G), and the outer radiusof the transition zone 360 is given by C*_(T). The output of thetransition function 635 is the correction fraction, which ranges from 0%to 100%. In other embodiments, the transition function 635 can applyother types of transition functions, such as a sigmoid transitionfunction 675.

In some embodiments, a continuity function 650 can help maintain visualcolor continuity within discrete objects provided locally within theimage content. For example, image content analysis can analyze the pixelvalues of the digital image to identify object areas having similarcolors (e.g., a red ball, for example). Care can then be taken to applyconsistent metameric shifts within each object area. In someembodiments, the continuity function 650 can specify that the samemetamerism correction be applied to all image pixels within an objectarea. In some embodiments, the continuity function can apply aconstraint that avoids applying metamerism corrections that cause a hueshift out of a colors range that is generally recognized by a givencolor name. Such hue shifts are most likely to occur at hue boundariesor for hues that occupy small portions of color space (e.g., yellow).

In some embodiments, rather than applying no metamerism correction tocolors in the extended color gamut zone 362, it may be found to bedesirable to define metameric corrections based on some other criterionbesides that is not based on reducing color appearance differencesbetween specified sets of wide-band primaries 502 and narrow-bandprimaries 504. In this case, the apply no metamerism correction step 640can be replaced with a step that applies the desired metamerismcorrection. The apply partial metamerism correction step 630 can then beused to transition between the metamerism corrections applied inside theinner color gamut 358 and the extended color gamut zone 362.

In an alternate embodiment, the method described in commonly-assignedU.S. Pat. No. 5,583,666 to Ellson et al., entitled “Method forcross-device color calibration and enhancement using explicitconstraints,” can be used to provide the smooth transition within thetransition zone 360. Accordingly, a first subset of input colors isdefined including input colors within the inner color gamut 358, and asecond subset of input colors is defined including input colors withinthe extended color gamut zone 362. A first color transform in accordancewith the metamerism corrections 530 is assigned to the first subset ofinput colors, and a second transform that preserves the input colors isassigned to the second subset of input colors. A third subset of inputcolors is formed including the input colors that are not included in thefirst and second subsets. The third subset of input colors will containthe input colors in the transition zone 360. A color transform for theinput colors in the third subset is defined which preserves continuitywith the transforms assigned to the first and second subsets. In someembodiments, the color transform for the input colors in the thirdsubset is determined using an appropriate interpolation method.

In some embodiments, rather than applying the full metamerismcorrections throughout the entire inner color gamut 358, the metamericcorrections can be applied selectively to localized color regions, suchas for memory colors like sky blue, skin tones, grass green, white,grays, and other critical or widely recognized colors. Selectivemetameric color corrections may also be applied to certain target colorsthat are particularly important for a given production or film.Transition zones 360 can then be defined around each of the localizedcolor regions to provide for smooth transitions of the metamericcorrections.

In some embodiments, rather than applying no metamerism correction tocolors in the extended color gamut zone 362, it may be desirable todefine metameric corrections based on some other criterion than onreducing color appearance differences between specified sets ofwide-band primaries 502 and narrow-band primaries 504. In this case, theapply no metamerism correction step 640 can be replaced with a step thatapplies the desired metamerism correction. The apply partial metamerismcorrection step 630 can then be used to transition between themetamerism corrections applied inside the inner color gamut 358 and theextended color gamut zone 362.

The method of the present invention has been described with thereference to correcting observer metameric failure artifacts between afirst display having wide-band primaries 502 and a second display usingnarrow-band primaries 504. However, the described method can also beapplied to correcting observer metameric failure artifacts between twodisplays both of which use narrow-band primaries. For example, a firstnarrow-band display system using a first set of narrow-band primariescan be a studio or screening room reference system, and a secondnarrow-band display system using a second set of narrow-band primariescan be deployed in cinematic or residential distribution. As the displaysystems evolve with newer technologies, use of a standard or referencesystem having specified standard primaries can provide a standarddistribution encoding and can enable archival storage, but withoutproviding observer metameric failure correction, the colors would nothave the desired appearance if they were directly displayed on a systemhaving a different set of primaries. Thus, it should be understood thata similar process can be applied to adapt input data that was previouslyprepared for viewing by a particular display with a first set ofnarrow-band primaries for viewing by an alternate display with a secondset of narrow-band primaries. In this case, the wide-band primaries 502in the above-described methods can simply be replaced with the first setof narrow-band primaries, and the second set of narrow-band primariescan be used for the narrow-band primaries 504.

As noted previously, digital cinema image content is commonlydistributed as data files encoded according to the DCDM digital cinemaspecification. Today, these images are optimized for projection by aprojector having three broad bandwidth primaries (e.g., using filteredxenon lamp light, as represented by digital cinema projector spectrum410, in FIG. 5). As shown in FIG. 4, after file decryption anddecompression, any necessary projector specific image corrections areapplied via image processor 240, before the data is passed forward forprojection. For example, these corrections can further optimize theincoming image data for projection by a DLP or LCOS based projector, asappropriate. However, for the purposes of the present invention,projector 100 can further include metameric color corrector 250 thatalters the color reproduction to optimize the incoming image data forprojection by a narrow-bandwidth primary projector for the purpose ofreducing the occurrence of observer metameric failure. As an example,metameric color corrector 250 can provide CIEXYZ space multiplicativescaling corrections or CIELAB additive corrections to compensate for themetameric failure induced color shifts shown in FIGS. 7A-7D and 10A-10B.In particular, the incoming data can be altered to apply metamerismcorrections 530 (FIG. 9A-9B) to compensate for to the average perceivedcolor shifts, so that the observers 60 (FIG. 2) will tend to view thedisplayed colors on the narrow-band projection system as being closer tothe colors that they would see if the image were displayed on aconventional wide-band projection system.

As the present invention has been described thus far, the imageprocessor 240 and metameric color corrector 250 reside within theprojector data path 200 and provide the image analysis that identifiesimage content or colors that can benefit from metameric failure colorcorrection, and then provide the appropriate color corrections.Metameric color corrector 250 can use matrices, look-up tables (LUTs),parametric functions or algorithms, or combinations thereof, to applyappropriate metamerism corrections 530. Metameric color corrector 250can also be enabled using a programmable logic device, such as a FPGAdevice. A memory or frame store can be included with image processor240, to compile the altered image frame, including both normal imagequality corrections provided by image corrector 245 and metamericfailure reduction image corrections provided by metameric colorcorrector 250. The resulting image frames can then be passed to framebuffer 260.

Alternately, the data processing system that applies metameric failurecolor corrections can be operated at the content source (includingstudios, post-house, cinematographer, or colorist) or other location,such that pre-corrected image data files or image data altering filescan be delivered to the exhibitor. For example, when it is determined orknown that the image content will be viewed on a display withnarrow-band primaries, whether in a cinema, home theatre, or othervenue, pre-color corrected image content can be provided orpre-determined, and accompanying metadata or data files with the DCDMcontent files can enable or provide the metameric color corrected imagecontent.

In summary, the previously discussed papers by Konig et al., Fairchildet al., and J. Bergquist, suggested that observer metameric failure canonly be effectively reduced by displays using N>3 nominallyintermediate- to wide-band (e.g., 30-100 nm) primaries. However, thepresent invention provides a method applicable to displays having N=3narrow-band primaries by which color-dependent metamerism corrections530 are determined and applied to reduce the average magnitude ofobserver metameric failure for a set of target observers. In particular,the exemplary metameric correction modeling methods of FIGS. 9A-9B areused to calculate appropriate metamerism corrections 530. Thesemetamerism corrections 530 can then be applied via the exemplarymetameric failure compensation method 600 of FIG. 13 to provide atoutput corrected output colors 660 as appropriate on a pixel-wise basis.However, while this method primarily corrects for the predominant shiftsin color perception (e.g., the yellow-green color shifts observed in theexemplary color perception difference plots of FIGS. 7A-7D), otherapproaches for reducing observer metameric failure can complement orextend this method.

The displays and projectors 100 of the present invention have beennominally described as being three primary (N=3) systems, where thethree primaries are each provided by narrow-band light sources (e.g.,lasers or LEDs). However, it will be obvious to one skilled in the artthat the inventive method can also be used in displays having mixedprimaries, where some primaries are narrow-band and other are wide-band.As one example, a display system having two narrow-band primaries (e.g.,red and green) and one wide-band primary (e.g., blue) can still applymetameric corrections determined in accordance with the presentinvention to compensate for the observer metameric failure contributionsfrom the use of the narrow-band primaries.

The discussion to this point has assumed that the input color is adaptedfor display on a conventional wide-band display, and has generally beendirected at reducing color perception differences between the wide-banddisplay and a narrow-band display that result from observer metamericfailure. However, observer metameric failure will also cause perceivedcolor differences between two narrow-band displays having different setsof narrow-band primaries. For example, an input image can be optimizedto be displayed on a narrow-band display having a first set ofnarrow-band primaries, and it can be desired to apply appropriatemetemaric corrections in order to display the image on a narrow-banddisplay having a second set of narrow-band primaries. The method of thepresent invention can also be used to compensate for these colordifferences. In this case, the wide-band primaries 502 in FIGS. 9A-9Bcan be replaced with the first set of narrow-band primaries, and thesecond set of narrow-band primaries can be used for the narrow-bandprimaries 504.

As another example, a six primary projection system could be constructedwhere three wide-band primaries (R_(W)G_(W)B_(W)) define a conventionalcolor gamut and three narrow-band primaries (R_(n)G_(n)B_(n)) define anextended color gamut. In operation, the three wide-band primariesprincipally provide colors within the conventional color gamut, whilethe three narrow-band primaries principally provide colors extending tothe boundaries of the extended color gamut, but not the colors insidethe conventional wide-band color gamut 330. In such an example, thecolor perception difference modeling method described herein can be usedto determine perceived color difference values and correspondingmetamerism corrections 530 for pixels having colors that are displayedusing the narrow-band primaries, or with combinations of the wide-bandand narrow-band primaries. Scaled color corrections and transitionszones 360 can be used for colors near the boundary of the conventionalwide-band color gamut 330, and can overlap with the conventionalwide-band color gamut 330 produced by the wide-band primaries (RwGwBw).This approach has the disadvantage that two complete projectors areessentially required, which likely have many significantly differentoptical components as the light sources are so different. However, ithas the advantage of providing an expanded color gamut, while reducingthe occurrence of observer metameric failure artifacts.

The invention can also be applied to display systems having more thanthree narrow band primaries (e.g., N=6). Such systems can be useful forexpanding spectral color diversity so as to reduce observer metamericfailure among the observers 60, while using a common optical design withmostly identical components. For example, such a display system can havetwo blue laser primaries (e.g., 445 nm and 465 nm), two green laserprimaries (e.g. 532 nm and 560 nm), and two red laser primaries (e.g.632 nm and 650 nm). In some embodiments, a first projector 100 (FIG. 4)can display an image using one set of primaries (e.g., 445 nm, 560 nm,and 650 nm) onto the display surface 190, and a second projector 100 candisplay an overlapping image using the second set of primaries (e.g. 465nm, 532 nm, and 632 nm) onto the same display surface 190. As a result,a color provided for a pixel, unless it is on or very near the spectrumlocus 325, can be rendered using primaries provided by both projectors100. As both the white point color balance and the primary colorcoordinates of the two projectors 100 will not be identical, the datasignals provided to the spatial light modulators 170 are not identicalbetween common (e.g., blue) color channels for the two projectors 100.This display system, per the present invention, can use the colorperception difference modeling method and the metameric failurecorrection method described above to provide metamerism corrections 530appropriate for the image data provided by each projector 100.

This approach bears some similarity to the projection technology ofInfitec GmbH, Ulm, Germany, which uses wavelength multiplexing with twosets of color primaries to provide 3-D imagery to observers 60 who arewearing appropriate viewing glasses. The Infitec approach providechannel separation for stereo projection by filtering broadband lightsources to match left and right eye color band filter glasses (e.g.,left eye: red=629 nm, green=532 nm, blue=446 nm, and right eye: red=615nm, green=518 nm, blue=432 nm). In contrast, although the exemplary N=6laser primary projector may provide 3-D imagery, it mainly providesreduced observer metameric failure with narrow primaries by increasingspectral color diversity providing while providing metamerismcorrections 530 per the method of the present invention, thus addressinga distinct and separate problem.

As a variation on N=6 laser primary projection, one projector 100 can beused instead, where each spatial light modulator 170 receivesillumination light from both types of laser sources for that color. Inthat case, white point balancing can essentially work with a wavelengthaveraged color channel. While the greater spectral color diversity isstill present, and only one projector 100 is required, controlling colorreproduction can be more difficult.

Alternately, each color channel can use the two laser wavelengths percolor in a sequentially time multiplexed fashion (e.g., scrollingcolor), using both sets of primaries within a frame time to render thepixel colors. Such spectral color time multiplexing depends on themodulation capabilities within the display or projector 100. In the caseof digital cinema systems, the base projection frame rate is typically24 fps (or 24 Hz), which corresponds to a frame time of 41.67 ms. In afilm projector, a shutter effectively doubles the frame rate to reduceflicker perception by providing two pulses of illuminating light to afilm frame. Digital or electronic projectors can have similar framereplication effects.

Consider the timing diagram of FIG. 15A, in which an image frame 700 isprojected during a frame time 710 that includes a blanking time 725 anda frame ON time 705. The blanking time 725 is an OFF state, during whichlight is nominally not sent to the display surface 190 (FIG. 2), andother activities occur (e.g., the loading of image data). The frame ONtime 705 is the portion of the frame time 710 during which the projector100 (FIG. 2) provides image light to the 190 with the light intensity inspatial and temporal accordance with the image content.

At present, to enable 3-D image presentation, DMD or DLP projectorstypically utilize “Triple Flash” projection, where six sub-frames 730,having sub-frame ON times 735, are presented per frame time 710, asdepicted in FIG. 15B. In the case of 3-D image projection, the left eyeand right eye images are each presented to the eye in an alternatingfashion three times per frame. In the case of 2-D projection, theidentical frame content is presented in each of the six sub-frames, foran effective frame rate of 144 Hz (which corresponds to a 6.94 mssub-frame time). Within each of the sub-frames 730, whether for 2-D or3-D image projection, DMD projection uses a temporal or pulse-widthmodulation (PWM) scheme on a pixel-wise basis to present the imagecontent according to the corresponding pixel code values. The sub-frames730 typically have a high duty cycle (˜95%), with short blanking times725 between the sub-frames 730. During the blanking times 725, variousperiodic timing events, such as polarization switching or DMD globalreset functions, can occur without causing on-screen image artifacts.The frame ON time 705 (or the sub-frame ON times 735) represents thetime that a particular set of image data are projected to the displaysurface 190.

In this example, the color required for a given projected image pixelduring a particular frame time 710 can be created by projecting with thefirst set of laser primaries during the odd sub-frames 730 (e.g., 1, 3,5) and projecting with the second set of laser primaries during the evensub-frames 730 (e.g., 2, 4, 6). The metamerism corrections 530determined in accordance with the present invention would be differentfor each set laser primaries. In summary, these exemplary N=6 laserprimary projection approaches provide increased spectral color diversityand metameric observer failure image artifact reduction, while onlymodestly reducing the color gamut and aiding speckle reduction.

It is also noted that spectral color diversity can be increased, andtherefore observer metameric failure reduced, by effects appliedexternal to the projector 100 having narrow-bandwidth primaries. Inparticular, commonly assigned U.S. Pat. No. 8,085,467 to Silverstein etal., entitled “Projection display surface providing speckle reduction”,which is incorporated herein by reference, provides a projection screensparsely coated with fluorescing materials that provide visiblefluorescence at wavelengths near or around the visible stimulatinglight. For example, incident red laser light can cause a visible redfluorescence where the fluorescing bandwidth can be, for example, Δλ≈30nm. While the principal advantage of this screen is to aid specklereduction, the increase in spectral color diversity that it provides canalso reduce the occurrence or magnitude of observer metameric failureamong observers 60 of images projected onto the fluorescently enhancedprojection screen. Depending on the fluorescing bandwidth Δλ, created,the wide color gamut provided by such a laser based projector 100, canbe only modestly reduced.

The previous discussion described methods for reducing observermetameric failure by increasing spectral color diversity using more thanthree narrow-band primaries, including with the use of spectral colormultiplexing, where the same color is generated by different sets ofnarrow-band primaries. In some embodiments, a spectral color “dithering”aspect can be added, where primaries from the two sets are used in anintermingled fashion to generate the same color within a frame time 710by changing primary combinations by sub-frame 730 (e.g., sub-frame #1:λ_(b1), λ_(g2), λ_(r2); sub-frame #2: λ_(b2), λ_(g1), λ_(r2)).

Although adding more primaries can help reduce the occurrence ofobserver metameric failure in displays having narrow-band primaries byincreasing spectral diversity, this option complicates the opticaldesign. Thus, it would be desirable to find other opportunities forreducing observer metameric failure effects in three primary systems. Asan alternative, color diversity can be provided by performing colordithering about a target color 750 as illustrated in FIG. 16. Inparticular, for a given target color 750, the intensities of the laserprimaries can be modulated in rapid succession on a pixel-wise basis, orgroup-of-pixels basis, to “dither” the displayed color in a colorneighborhood around the target color 750. (Within the context of thepresent invention, the term “dither” refers to rapidly varying between aseries of different states or colors to introduce variation.)Preferably, the target color 750, around which color dithering occurs,is the corrected output color 660 (FIG. 13) determined using thepreviously described methods. The color dithering can be a random,periodic, or aperiodic modulation of a set of dithering colors 762, 764,766 arranged on a color dithering locus 760 about the color center(i.e., target color 750). The dithering colors 762, 764, 766 areselected so that they temporally average to provide the colorimetry ofthe target color 750. The rapid projection of the series of ditheringcolors 762, 764, 766 will appear to the observers 60 as the target color750. This mechanism provides display color diversity compared todisplaying the target color 750 directly with constant intensityprimaries, thereby increasing the likelihood that they can report seeinga common color. As discussed earlier, the magnitude of the perceptualcolor shifts associated with observer metamerism failure can besubstantially different in different parts of color space. Therefore, insome embodiments it can be desirable to adjust the size of the colordithering locus 760 as a function of location in color space inaccordance with the magnitude of the associated perceptual color shifts.

This mechanism provides display color diversity compared to displayingthe target color 750 directly with constant intensity primaries. Asindividual observers 60 are stimulated with a larger color space areainclusive of the dithering colors 770, these color space areas willoverlap among at least some observers 60, thereby increasing thelikelihood that they can report seeing a common color. The colorperception averaging aspect of temporal color dithering can be comparedto scrolling color projectors that project colored images in rapidsequence; e.g., a red image, followed by a green image and a blue image.In such projectors, if the frame refresh rate is fast enough, theobserver does not perceive a sequence of flickering colored images, butrather perceives a temporally integrated multicolored image. Bycomparison, with temporal color dithering, a projector 100 having asingle set of narrow-band primaries (λ_(b), λ_(g), λ_(r)) can assemblethe designated target color 750 for a particular image pixel in aparticular frame time 710 (FIG. 15B), by projecting the dithering colors762, 764 and 766 in sequential sub-frames 730 (FIG. 15B). For example,for a given pixel in a particular image frame 700 (FIG. 15A), theprojector 100 can provide sub-frames #1 and #4 with the dithering color762, sub-frames #2 and #5 with the dithering color 764, and sub-frames#3 and #6 with the dithering color 766. Dithering color 762 can begreener than the target color 750, dithering color 764 can be bluer thanthe target color 750 and dithering color 762 can be redder than thetarget color 750. Nonetheless, experiments have shown that observers 60can perceive a color patch projected with this type of temporal colordithering as color matched to an adjacent color patch that is displayeda constant target color 750.

Temporal color dithering is further illustrated in FIG. 17, whichdepicts a CIE x,y chromaticity diagram 320 outlined by spectrum locus325, and a laser primary color gamut 335 corresponding to red laserprimary 422, green laser primary 424 and blue laser primary 426. Fourexemplary target colors 750 (FIG. 16) are indicated by white targetcolor 751, sky blue target color 752, grass green target color 753, andskin tone target color 754.

About each target color, a color dithering locus 760 is depicted, whichincludes a set of distinct dithering colors that can be presented in atemporal sequence and temporally average to appear as the correspondingtarget color. The dithering colors in each color dithering locus 760 areformed by an appropriate combination of the laser primaries.

To expand on this, FIGS. 18A-18D depict enlarged views of sub-portionsof the CIE x,y chromaticity diagram 320 in FIG. 17, that zoom in on thecolor regions including the white target color 751 (FIG. 14A), the skyblue target color 752(FIG. 14B), the grass green target color 753 (FIG.14C), and the skin tone target color 754 (FIG. 14D), respectively. Abouteach of the respective target colors, are a series of exemplary colordithering loci 771, 772, 773 and 774 including dithering colors 770.

The dithering colors 770 can be defined by the magnitude and directionof color shift relative to the respective target color, and themodulation criteria amongst the dither colors. In some embodiments, thewell-known MacAdam ellipses can be used as a benchmark in the definitionof the dithering colors. The MacAdam ellipses indicate color regions inCIE x,y chromaticity space that contain colors which areindistinguishable to the typical human observer from the color at thecenter of the ellipse. In particular, colors within the MacAdam ellipsesare perceived as being less than 1 JND different from the central color,while colors outside the ellipses are >1 JND different from the centralcolor. In some embodiments, the dithering colors can be defined to lieon a color dither locus corresponding to an ellipse in CIE x,ychromaticity space centered on the respective target color, where thesize and orientation of the ellipse is defined based on the MacAdamellipses to provide a desired number of JNDs of color difference (e.g.,4 JNDs). More generally, the dithering colors 770 by definingappropriate color dithering loci in CIE XYZ, CIELAB, or other colorspaces, using a variety of scales or units, including ΔE*, Δa*, Δb*,JNDs, or x-y vector lengths, as appropriate.

FIGS. 18A-18D illustrate color dithering loci 771, 772, 773 and 774 thatare defined according to various criteria. Color dithering locus 774 isa circle centered on the associated target color with a radius of 0.01in x-y chromaticity coordinate space, with exemplary dithering colors770 shown as points distributed around the circle.

While the circular color dithering locus 774 is convenient to define, ithas the disadvantage that it is defined based on the CIE x-ychromaticity space, which is known to be perceptually non-uniform. In apreferred embodiment, the color dithering loci is defined such that thedithering colors 770 are at equivalent visual distances from the targetcolor. The CIELAB color space (i.e., L*a*b*) was designed to beapproximately visually uniform so that equal distances approximatelycorrespond to equal visual differences. In some embodiments, the colordithering loci can be defined to be a circle in CIELAB having a radiuswhich is a specified number of ΔE* units. The dithering points can bedefined in terms of their L*a*b* coordinates, and then translated backto corresponding chromaticity coordinates. The color dithering loci 771,772 and 773 in FIGS. 18A-18D were defined in this manner, with colordifferences of 1, 2, and 4 ΔE*, respectively. (A color shift of 1 ΔE*can be considered to be approximately equivalent to a 1 JND colorchange). As FIGS. 18A-18D show, the color dithering loci 771, 772 and773 are approximately elliptical in shape in the x,y chromaticity space,but of comparable size to the circular color dithering locus 774. Oncethe color dithering loci are defined, the dithering colors 770 can bedistributed around color dithering locus so that they average to providethe corresponding target color.

In considering the color dithering plots FIGS. 18A-18D, for eachexemplary color dithering locus 771, 772 and 773 arranged about thecorresponding target color, the dithering colors 770 can be distributedin various ways. In some embodiments, they are spaced at certain anglesin color space (e.g., equally spaced angles in L*a*b* space or in x-ychromaticity space). For example, they can be positioned at 0°, 60°,120°, 180°, 240° and 300° relative to the target color. Alternately, thechoice of the dithering colors 770 can be based on other considerations,such as whether they lie parallel to the axes of a color space thatrepresents underlying physiological mechanisms of color vision, such ascone contrast or opponent modulation color spaces or other color spacessuggested in the literature. Cone contrast or opponent modulation colorspaces are described by Brainard in “Cone contrast and opponentmodulation color spaces” (in Human Color Vision, 2nd edition, Ed. Kaiserand Boynton, Optical Society of America, Washington, D.C., pp. 563-579,1996).

In some embodiments, the dithering colors 770 are distributed such thatthey can be achieved by increasing or decreasing the amount of one ofthe color primaries. That is, colors that are slightly more red (R⁺),slightly more green (G⁺), slightly more blue (B⁺) slightly less red (R⁻)(equivalent to more cyan (C⁺)), slightly less green (G⁻) (equivalent tomore magenta (M⁺)), or slightly less blue (B⁻) (equivalent to moreyellow (Y⁺)), than the target color (T). Other variants are possible,such as using two slightly more red colors (R₁ ⁺, R₂ ⁻) that aredifferent from each other. The same holds for the green, blue, cyan,magenta or yellow colors.

In some embodiments, the dithering colors 770 are chosen so that theyhave the same luminance (Y) as the target color. (This will generallyrequire adjusting all three primaries so that the increase in oneprimary is compensated by decreases in at least one of the otherprimaries. In some embodiments, the dithering colors 770 can includecolors that vary in luminance (Y), either being brighter or dimmer, suchas R⁺G1 ⁺B⁺G2 ⁺, where G1 ⁺ is brighter than G2 ⁺. In this case, thedithering colors should be chosen such that their average luminancematches the luminance of the target color.

Care is required in choosing the dithering colors 770 in order to ensurethat the cumulative result of averaging the color shifts gives the sametristimulus values as the target color T. In the case that the ditheringcolors 770 are equidistant from the target color in ΔE* units, averagingto match the target color T can be straightforward. However, ditheringcolors 770 in a color set can be defined with different shift amounts,such as 4 ΔE* units and 2 ΔE* units. Small luminance (Y) adjustments canbe used to help the temporal color averaging of the dithered colorsprovide a color match to the target color.

Temporal color dithering can be applied in various sequences, includingR⁺G⁺B⁺, or R⁺B⁺G⁺, R⁺G⁺B⁺R⁻G⁻B⁻, or R⁺G⁺B⁺T, or C⁺M⁺Y⁺, or C⁻M⁺Y⁺T, orR₁ ⁺R₂ ⁺G₁ ⁺G₂ ⁺B₁ ⁺B₂ ⁺, and so on. The temporal color dithering usinga given color set, such as R⁻G⁺B⁺, can be repeated or sequenced aboutthe target color, cyclically R⁺G⁺B⁺R⁺G⁺B⁺R⁺G⁺B⁺ . . . , as long as theappropriate image content is present at the display surface.

Projection experiments have validated the averaging aspect of temporalcolor dithering. In particular, a set of observers was shown a firstcolor patch of a static target color (T), and a second color patchcomprising a set of temporal sequence of dithering colors 770, such asR⁺G⁺B⁺ or C⁺M⁺Y⁺ modulated at a 48 fps effective rate. The ditheringcolors 770 were temporally cycled, to appear in two non-adjacentsub-frames 730 (FIG. 12B) per frame time, which provided color changeswithout noticeable flicker for most observers. These experiments wereperformed separately with a broad spectrum Barco digital cinemaprojector and a laser digital cinema projector having the laserprojector spectrum 420 shown in FIG. 5. In both cases, the individualobservers generally considered the static color patches and the ditheredcolor patches to be color matched. This was the case even if thedithering colors 770 were shifted by 4 ΔE* units from the target color,such that the individual dithering colors 770 had enough colordifference to be individually distinctive.

In terms of color averaging to synthesize the target color, thepreferred amount of color noise can vary with the target color T. Forexample, for sky blue, whites and grays, experiments indicated that thedesired color noise is preferably 3 or 4 ΔE* units, while for the grassgreen color, 5 ΔE* units of color noise was preferred. In theseexperiments, a color dithering locus 760 having a color set of justthree dithering colors 770, such as R⁺G⁺B⁺ or C⁺M⁺Y⁺, seemed mosteffective for creating the perception of the target color using nearbycolors.

To help in reducing observer metameric failure, the dithering colors 770should be sufficiently visually distinct from the target color T, so asto provide adequate color variation or display color diversity. Thus,color noise or dithering colors 770 include values preferably altered by3-5 ΔE* or more, and the offsets can be scaled to at least encompassareas of the scatter plot (FIGS. 7A-7D) that include a majority ofobservers.

The temporal color dithering can be supplied by various methods,including via metameric color corrector 250 (FIG. 4). When colors, whichare to be corrected for observer metameric failure, are determined, themetameric color corrector 250 can determine offset colors using analgorithm, a color dependent look up table, or other approaches (forexample, random selection from within the color dithering locus 760) andprovide the dithering colors 770 as a sequence of color noise on a frameor sub-frame basis. Alternately, metameric color corrector 250 can alterthe incoming or original image data using a color noise generator, whichpseudo randomly generates dithering colors 770 within a bounded colorspace that is constrained by rules for the sequence and amount (ΔE*,Δa*, Δb*, JNDs, H, L) of color shifting or differencing applied. Whiledithering colors 770 can be applied to every frame, computational orimage processing requirements can be managed by applying changes in acommon way for image data for a sequence of frames with similar imagecontent (e.g., a scene).

In some embodiments, the correction or compensation of observermetameric failure among observers 60 (FIG. 2) viewing an image 195provided by projector 100 having three narrow-bandwidth primaries orcolor channels is achieved by using the two approaches in combination(i.e., both providing compensating metamerism corrections 530 andtemporal color dithering with dithering colors 770). Other methods, suchas the previously mentioned fluorescent screen, can be used incombination with one or both of these methods.

It should be understood that the yellow-green shifts shown in FIGS.7A-7D were determined based on using the Barco DP-1500 projector as anexemplary standard for explaining the present invention. However, inpractice, industry participants, including studios, post productionhouses, directors, cinematographers, and colorists, may use particulardisplays as a reference standard for determining metamerism corrections530 and dithering colors 770. For example, Digital Projection Inc.(Kennesaw, Ga.) offers a “Reference Series” of DLP-based projectors foruse in critical viewing conditions including post-production houses andscreening rooms. It can be expected that the metamerism corrections 530and dithering colors 770 may be different if a different display orprojector is used as the standard.

As represented by FIG. 2 and FIG. 3, the primary emphasis has been onreducing the occurrence of observer metameric failure for observers of alaser-based digital cinema projector. However, it should be understoodthat the described method for reducing observer metameric failure can beapplied more broadly. For example, this method can be applied in laserprojectors for other markets, including residential, special event(concert), or museums (planetariums), and for either front screen orrear screen projection geometries. This method is particularly adaptableto projection displays having narrow or moderate bandwidth primaries,including displays using lasers, LEDs, filtered LEDs, visible emittingsuper luminescent diodes (SLEDs), lamps, or combinations thereof Themethod of the present invention can also be applied to projectiondisplays where only some of the primaries or color channels have narrowor moderate spectral bandwidths, while the other primaries have widespectral bandwidths. Additionally, this method can be applied toelectronic displays more generally, including backlit displays, anddisplays suitable to computer monitors, televisions, and video gamingand other markets. When the temporal color dithering approach isemployed, it is required that the display can be modulated fast enoughto support the required temporal variations.

The projector 100 of FIG. 3 is a three primary display, having red,green, and blue color primaries. However, it should be understood thatthe method of the present invention for reducing observer metamericfailure is extensible to displays having N primaries, and particularlyto displays having N>3 narrow-bandwidth primaries. While displays withmany primaries, such as N=20, that use the method of the presentinvention are possible, multi-primary displays having N=4 or N=5narrow-band primaries are of particular interest for expanding theaccessible color gamut. In addition to extending the color gamut,displays with N=4 or N=5 narrow-band primaries can also provide spectralcolor diversity to reduce observer metameric failure, as discussedpreviously. FIG. 19 shows a CIE x,y chromaticity diagram 320 depictingtwo exemplary N=4 primary extended color gamuts: a yellow-enhanced widecolor gamut 337 that includes a yellow primary 310, and a cyan-enhancedwide color gamut 338 that includes a cyan primary 312.

The use of a yellow-enhanced wide color gamut 337 is often consideredvaluable as it includes pure yellows. As noted previously, there aresome naturally occurring yellow colors that are very close to thespectrum locus 325 of monochromatic colors. Thus an N=4 primary displaythat includes a yellow primary may not seem to add much color gamut areaas seen in an CIE x,y chromaticity diagram, but there are importantcolors there, which other color spaces better represent.

Cyan is a common and important color in nature that can be minimallysupported by even many wide color gamut displays. Thus, enhancing adisplay to have N=4 primaries, including a cyan primary 312, to providea cyan-enhanced wide color gamut 338, can be particularly valuable. Insuch instances, even if these primaries are narrow-band sources, such aslasers, observer metameric failure can be reduced in creating a targetcolor (T), such as turquoise, by using all 4 primaries at once, or usingdifferent combinations of 3 primaries. However, the methods of thepresent invention, including those for providing compensating metamerismcorrections 530 and temporal color dithering with dithering colors 770,can be used with such displays to further reduce the occurrence ormagnitude of observer metameric failure. Similarly, an N=5 primarydisplay that includes both a yellow color primary and a cyan colorprimary can provide both a further extended color gamut and reducedobserver metameric failure when using the methods of the presentinvention.

Selective application of the method for reducing observer metamericfailure can also depend on usage dependent circumstances. As an example,television displays are bright and typically viewed in a brightenvironment, compared to cinema projectors, which typically have a peakluminance that is ˜2× dimmer, and which are viewed in dimmer conditions.While both displays can provide viewable images under normal photopicviewing conditions, both can also provide images in dark (mesopic)viewing conditions. This is particularly true for cinema viewing, wherethe light levels can often slip into the mesopic range, such as whenviewing films stylized with many dark scenes. Under such mesopicconditions, the human visual system adapts over time to increasesensitivity, with cone (color) sensitivity diminishing, while rodsbecome increasingly important. As a result, typically human colorperception changes dramatically, with the relative perceived brightnessof colors experiencing a blue shift that favors perception of blue lightrelative to the perception of green or red light. Thus, human perceptionof yellow, orange, and red colors becomes less accurate. Humanperception of blue and low green colors also suffers, but lessdramatically. In the commonly-assigned U.S. Patent ApplicationPublication 2011/0175925, to Kane et al., entitled “Adapting displaycolor appearance for low luminance conditions”, which is incorporatedherein by reference, a method is provided for color correcting a displaythat is being viewed in low luminance conditions to provide a bettercolor appearance for human observers who are experience adaptationshifts. This approach provides display color adjustments based ondetected light levels and analysis of the time course of adaptation, butdoes not provide corrections for observer metameric failure when thedisplay has a narrow or moderate bandwidth primaries. The metamericfailure compensation methods of the present invention can be used incombination with the mesopic color correction method. For example, asthe viewing conditions become increasingly mesopic, metamerismcorrections 530 can be modified to include mesopic viewing colorcorrections.

It is again noted that various analysis results have been presentedusing the exemplary embodiments of the present invention where the 1931CIE 2° standard observer or the 1964 CIE 10° standard observer were usedas the reference observer. Additionally, the 10° color matchingfunctions data for the twenty Wyszecki and Stiles observers has beenused to represent a set of target observers. In the decades since thesedata sets have been published, the data has been occasionallycriticized, but mostly validated, and not replaced. In particular, eventhough the 1931 CIE 2° standard observer is relevant as the assumedreference within the DCDM standard, and though the 1964 CIE 10° standardobserver may actually be more relevant for cinema viewing conditions, inreality a perfect standard observer model is unlikely to be developed.It is perhaps more likely that color matching functions may be measuredfor an alternate set of target observers that can replace the WSobservers, or alternately, be more relevant for cinema viewingconditions. As a set of target observers, the twenty Wyszecki and Stilesobservers represent reasonable demographics as far as age and gender areconcerned, although males, Caucasians, and people of ages 16-50 wereperhaps over represented. For example, as it was previously noted thathuman color matching functions vary among individuals are somewhatcorrelated with observer age, due to yellowing of the eye lenses withage, a broader age demographic may be relevant.

The methods of the present invention can be used with alternate sets ofreference observer color matching functions, should appropriatealternatives be developed. As one example, a set of standard observercolor matching functions and a set of target observer color matchingfunctions can be developed for demographic sub-groups of targetobservers, such as youth, and then used when displaying content that ispredominately watched by such as an audience. As another example,measurement or assembly of a set of human color matching functions fortarget observers encountering cinema equivalent viewing conditions canalso account for different viewing distances and the simultaneouspresence of wide field of view illumination into the eye. In summary,the present inventive methods for reducing observer metameric failure,can benefit from efforts to determine additional color matchingfunctions for one or more sets of relevant target observers.

It is noted that other visual effects aside from observer metamericfailure can also occur with narrow-bandwidth primary displays. Inparticular, these include the Helmholtz-Kohlrausch (H-K) effect and theBezold-Brücke (B-B) effect. The H-K effect describes perceived changesin brightness that can occur when humans experience highly saturatedlight near the spectrum locus 325, while the B-B effect describesperceived changes in hue that humans can experience when viewing brightlight of particular wavelengths. For example, due to the B-B effect,high intensity long-wavelength red light (such as 660 nm) can appear tobe tinged with yellow. These effects will generally have minimal impactfor cinema, due to the typical light levels, the distant position of theaudience to the screen, and the typical color content of images. Thewavelength or bandwidth of the primaries can also impact the occurrenceof these effects. However, these effects are more likely to occur whenviewing high luminance displays that provide image content having largeareas with bright saturated colors. While such conditions tend to beless critical for color viewing, the observer metameric failurereduction methods of the present invention, or variations thereof thatalso correct for these effects, can also be applied for these viewingconditions, as is appropriate. For example, when the displayed imagecontent includes large image areas having spectral colors that stimulatethe H-K effect, the color signals can be corrected by locally modifyingthe effective brightness or the displayed color gamut.

A computer program product for implementing the present invention caninclude one or more non-transitory, tangible, computer readable storagemedium, for example; magnetic storage media such as magnetic disk (suchas a floppy disk) or magnetic tape; optical storage media such asoptical disk, optical tape, or machine readable bar code; solid-stateelectronic storage devices such as random access memory (RAM), orread-only memory (ROM); or any other physical device or media employedto store a computer program having instructions for controlling one ormore computers to practice the method according to the presentinvention.

The invention has been described in detail with particular reference tocertain preferred embodiments thereof, but it will be understood thatvariations and modifications can be effected within the spirit and scopeof the invention.

PARTS LIST

-   50 theater-   60 observers-   100 projector-   110 b blue illumination assembly-   110 g green illumination assembly-   110 r red illumination assembly-   115 illumination light-   120 b blue laser light source-   120 g green laser light source-   120 r red laser light source-   140 illumination optics-   145 illumination lens-   150 light integrator-   155 mirror-   160 combiner-   162 first combiner-   164 second combiner-   170 spatial light modulator-   175 image light-   180 imaging optics-   185 optical axis-   190 display surface-   195 image-   200 data path-   210 image file package-   220 data input interface-   230 data decryption-   235 data decompression-   240 image processor-   245 image corrector-   250 metameric color corrector-   260 frame buffer-   265 modulator timing control-   300 color matching functions-   300 a CIE 2° color matching functions-   300 b CIE 10° color matching functions-   310 yellow primary-   312 cyan primary-   320 CIE x,y chromaticity diagram-   325 spectrum locus-   327 line of purples-   330 wide-band color gamut-   331 red primary-   332 green primary-   333 blue primary-   335 laser primary color gamut-   337 yellow-enhanced wide color gamut-   338 cyan-enhanced wide color gamut-   340 white color coordinate-   342 sky blue color coordinate-   344 grass green color coordinate-   346 skin tone color coordinate-   350 chromaticity difference plot-   352 average chromaticity difference-   355 average color shift-   358 inner color gamut-   360 transition zone-   362 extended color gamut zone-   370 aim chromaticity difference-   400 film projector spectrum-   410 digital cinema projector spectrum-   420 laser projector spectrum-   422 red laser primary-   424 green laser primary-   426 blue laser primary-   432 Thornton red laser primary-   434 Thornton green laser primary-   436 Thornton blue laser primary-   440 color management method-   442 color correction method-   444 color correction method-   446 color management method-   448 color correction method-   450 input color values-   451 input device model-   452 device-independent color values-   453 inverse output device model-   454 output color values-   455 composite color transform-   456 inverse output device model-   457 output color values-   460 metamerism correction transform-   461 corrected device-independent color values-   462 corrected output color values-   463 composite metamerism correction transform-   465 metamerism correction transform-   466 composite metamerism correction transform-   467 composite metamerism correction transform-   500 input color XYZ-   502 wide-band primaries-   504 narrow-band primaries-   506 determine wide-band spectrum step-   508 wide-band spectrum-   510 determine narrow-band spectrum step-   512 narrow-band spectrum-   514 target observer color matching functions-   516 determine perceived color step-   518 target observer perceived wide-band color-   520 determine perceived color step-   522 target observer perceived narrow-band color-   524 determine perceived color shift step-   526 target observer perceived color shift-   528 determine metamerism correction step-   530 metamerism correction-   540 perceived color shift determination method-   545 matching color determination method-   550 input color-   552 determine wide-band spectrum step-   554 determine matching color-   556 matching output color-   558 determine metamerism correction-   560 perceived color shift plot-   562 input color coordinate-   564 outlier color vectors-   565 target observer color vectors-   566 average observer color vector-   568 average color vector-   570 perceived color shift plot-   575 color vectors-   580 perceived color difference plot-   585 target color gamut-   590 color difference contour lines-   600 metameric failure compensation method-   605 metamerism correction data-   610 input color-   615 inside conventional color gamut test-   620 apply full metamerism correction step-   625 inside transition zone test-   630 apply partial metamerism correction step-   635 transition function-   640 apply no metamerism correction step-   650 continuity function-   660 corrected output color-   670 linear transition function-   675 sigmoid transition function-   700 frame-   705 frame ON time-   710 frame time-   725 blanking time-   730 sub-frames-   735 sub-frame ON time-   750 target color-   751 white target color-   752 sky blue target color-   753 grass green target color-   754 skin tone target color-   760 color dithering locus-   762, 764, 766 dithering colors-   770 dithering colors-   771, 772, 773, 774 color dithering locus

What is claimed is:
 1. A method for color correcting one or more colorimages to reduce observer metameric failure for a plurality of observershaving disparate color vision characteristics and collectively viewing acolor display device having at least one narrow-band primary, the methodcomprising: receiving an input color image in an input color space, theinput color image having input color values appropriate for display on awide-band color display device having a plurality of input colorprimaries, each input color primary of the plurality of input colorprimaries having a wide spectral bandwidth; rendering, by a dataprocessing system, the input color values to determine, from a referenceset of color matching functions appropriate for the wide-band colordisplay device, a first set of color values for perceived colorsappropriate to display on the wide-band color display device;determining, by the data processing system rendering the input colorvalues and from an average observer set of color matching functions, asecond set of color values for perceived colors intended for display ona narrow-band color display device having at least one color primarythat is narrow-band; reducing a level of metameric failure for theplurality of observers viewing the narrow-band color display device byrendering color images for viewing on the narrow-band color displaydevice and applying a metamerism correction transform generated by thedata processing system to the input color values to provide output colorvalues, the metamerism correction transform being: defined using theaverage observer set of color matching functions derived from adistribution of characterized color matching functions of individualobservers with varying color perception, to reduce an average observermetameric failure for the plurality of observers; and derived from thereference set of color matching functions that is a standard observerset of color matching functions for perceived colors; and storing theoutput color values in a processor-accessible, non-transitory memory. 2.The method of claim 1, wherein the metamerism correction transform isderived from differences between the first set of color values and thesecond set of color values.
 3. The method of claim 2, wherein thedifferences between the first set of color values for the perceivedcolors determined from the standard observer set of color matchingfunctions and the wide-band color display device, and the second set ofcolor values for the perceived colors determined from the averageobserver set of color matching functions with a plurality of primariesof the narrow-band color display device, are calculated by: a. receivingthe input color values for a plurality of pixels of a spatial lightmodulator device, the input color values being CIE tristimulus values orequivalent; b. determining a wide-band spectra for each pixel of theplurality of pixels from wide-band color primaries of the color displaydevice with primaries of the plurality of primaries that are wide-bandand with the input color values of the input color image; c. determiningthe first set of color values for the perceived colors for the pluralityof pixels from the input color values from the wide-band spectra and thestandard observer set of color matching functions; d. determiningnarrow-band spectra for each pixel of the plurality of pixels fromnarrow-band color primaries of the color display device with thenarrow-band color primaries and the input color values of thenarrow-band spectra; e. determining the second set of color values forperceived colors for the plurality of pixels from the input color valuesand from the narrow-band spectra and the average observer set of colormatching functions; f. determining perceived color shifts as adifference between the first set of color values from the wide-bandspectra and the second set of color values from the narrow-band spectra;and g. determining the metamerism correction transform from theperceived color shifts.
 4. The method of claim 2, wherein thedifferences between the first set of color values for the perceivedcolors determined from the standard observer set of color matchingfunctions and the wide-band color display device, and the second set ofcolor values for perceived colors determined from the average observerset of color matching functions with primaries of the narrow-band colordisplay device, are calculated by: a. receiving input colors as controlvalues for a plurality of pixels of a modulator device, the input colorvalues being wide-band color display device values; b. determining awide-band spectra for each pixel of the plurality of pixels fromwide-band color primaries of the color display device and the inputcolor values; c. determining the first set of color values for a firstset of perceived colors for the plurality of pixels from the input colorvalues from the wide-band spectra and the average observer set of colormatching functions; d. determining the second set of color values forperceived colors that match the first set of perceived colors, for theplurality of pixels for the narrow-band color display device havingdefined narrow-band primaries from the first set of color values; e.determining the control values for the narrow-band color display devicefor narrow-band display device primaries, the second set of colorvalues, and the average observer set of color matching functions; and f.determining the metamerism correction transform from the differences inthe input color values and the control values for the narrow-band colordisplay device.
 5. The method of claim 4, further comprising determiningcorrected output color values by computing a central tendency for adistribution of matching output color values, the central tendency beingan average, a weighted average, a geometric mean, or a median.
 6. Themethod of claim 1, wherein the reference set of color matching functionsis a standard set of color matching functions, including a set specifiedfor the 2° 1931 CIE standard observer or the set specified for the 10°1964 CIE standard observer.
 7. The method of claim 1, wherein thereference set of color matching functions are a specified set of averageobserver color matching functions derived from a defined set of measuredcolor matching functions for a specified group of target observers. 8.The method of claim 1, further comprising selecting the metamerismcorrection transform for use among different metamerism correctiontransforms responsive to demographics of observers viewing the colordisplay device or responsive to a state of adaptation for observersviewing the color display device.
 9. The method of claim 1, wherein theaverage observer set of color matching functions is determined for a setof target observers that represent a demographic composition of theplurality of observers.
 10. The method of claim 1, wherein the inputcolor space is portioned into an inner color gamut zone, an extendedcolor gamut zone, and a transition zone containing colors between theinner color gamut zone and the extended color gamut zone, and whereinthe metamerism correction transform applies color shifts determined inresponse to the input color values and a corresponding set of correctedoutput color values within the inner color gamut zone, and applies nocolor shifts in the extended color gamut zone, and wherein themetamerism correction transform provides continuity across thetransition zone between the color shifts applied in the inner colorgamut zone and the extended color gamut zone.
 11. The method of claim10, wherein a width of the transition zone varies responsive to a sizeof the color shifts applied in a corresponding portion of the innercolor gamut zone.
 12. The method of claim 11, wherein the color shiftsapplied for the input color values in the transition zone are modifiedto maintain continuity of local image content.
 13. The method of claim1, further including displaying an output color image on the colordisplay device, wherein color values displayed on the color displaydevice are temporally dithered between a series of dithering colorshaving colors that surround the output color values.
 14. The method ofclaim 1, wherein the metamerism correction transform is a parametricfunction having a plurality of parameters determined by applying afitting process responsive to the input color values and a correspondingset of output color values.
 15. The method of claim 1, wherein themetamerism correction transform is a multi-dimensional look-up tablethat stores the output color values corresponding to a lattice of inputcolor values, the output color values providing reduced average observermetameric failure for a representative distribution of observers. 16.The method of claim 15, wherein the output color values stored in themulti-dimensional look-up table are determined by fitting a smoothfunction to the input color values and a corresponding set of outputcolor values.
 17. The method of claim 1, wherein the narrow-band colordisplay device has at least three narrow-band color primaries, includingat least one each of a red color primary, a green color primary, and ablue color primary.
 18. The method of claim 1, wherein each primary ofthe plurality of input color primaries has a spectral bandwidth of nomore than 30 nm.
 19. The method of claim 1, wherein the input colorimage is rendered by the data processing system, by a metameric colorcorrector, to reduce observer metameric failure, at a location separatefrom the location of the color display device.
 20. A data processingsystem, comprising: a non-transitory memory system; and an imageprocessor, including a metameric color corrector, configured to executecode stored in the non-transitory memory system to cause the dataprocessing system to color correct a color image to account fordisparate color vision characteristics of a plurality of observers by:receiving an input color image in an input color space, the input colorimage having input color values appropriate for display on a wide-bandcolor display device having a plurality of input color primaries, eachinput color primary of the plurality of input color primaries having awide spectral bandwidth; rendering the input color values to determine,from a reference set of color matching functions appropriate for thewide-band color display device, a first set of color values forperceived colors appropriate to display on the wide-band color displaydevice; determining, by rendering the input color values and from anaverage observer set of color matching functions, a second set of colorvalues for perceived colors intended for display on a narrow-band colordisplay device having at least one color primary that is narrow-band;reducing a level of metameric failure for the plurality of observersviewing the narrow-band color display device by rendering color imagesfor viewing on the narrow-band color display device and applying ametamerism correction transform generated by the data processing systemto the input color values to provide output color values, the metamerismcorrection transform being: defined using the average observer set ofcolor matching functions derived from a distribution of characterizedcolor matching functions of individual observers with varying colorperception, to reduce an average observer metameric failure for theplurality of observers; and derived from the reference set of colormatching functions that is a standard observer set of color matchingfunctions for perceived colors; and storing the output color values inthe non-transitory memory system.
 21. The data processing system ofclaim 20, wherein the image processor is configured to derive themetamerism correction transform from differences between the first setof color values and the second set of color values.
 22. The dataprocessing system of claim 21, wherein the image processor is configuredto calculate the differences between the first set of color values andthe second set of color values by: a. receiving the input color valuesfor a plurality of pixels of a spatial light modulator device, the inputcolor values being CIE tristimulus values or equivalent; b. determininga wide-band spectra for each pixel of the plurality of pixels fromwide-band color primaries of the wide-band color display device withprimaries of a plurality of primaries that are wide-band and with theinput color values of the input color image; c. determining the firstset of color values for the perceived colors for the plurality of pixelsfrom the input color values from the wide-band spectra and the standardobserver set of color matching functions; d. determining narrow-bandspectra for each pixel of the plurality of pixels from narrow-band colorprimaries of the narrow-band color display device with the narrow-bandcolor primaries and the input color values of the narrow-band spectra;e. determining the second set of color values for perceived colors forthe plurality of pixels from the input color values and from thenarrow-band spectra and the average observer set of color matchingfunctions; f. determining perceived color shifts as a difference betweenthe first set of color values from the wide-band spectra and the secondset of color values from the narrow-band spectra; and g. determining themetamerism correction transform from the perceived color shifts.
 23. Thedata processing system of claim 21, wherein the image processor isconfigured to calculate the differences between the first set of colorvalues and the second set of color values by: a. receiving input colorsas control values for a plurality of pixels of a modulator device, theinput color values being wide-band color display device values; b.determining a wide-band spectra for each pixel of the plurality ofpixels from wide-band color primaries of the wide-band color displaydevice and the input color values; c. determining the first set of colorvalues for a first set of perceived colors for the plurality of pixelsfrom the input color values from the wide-band spectra and the averageobserver set of color matching functions; d. determining the second setof color values for perceived colors that match the first set ofperceived colors, for the plurality of pixels for the narrow-band colordisplay device having defined narrow-band primaries from the first setof color values; e. determining the control values for the narrow-bandcolor display device for narrow-band display device primaries, thesecond set of color values, and the average observer set of colormatching functions; and f. determining the metamerism correctiontransform from the differences in the input color values and the controlvalues for the narrow-band color display device.
 24. The data processingsystem of claim 20, wherein the metamerism correction transform isformed to provide colorimetry modifications that vary for differentinput color values.
 25. The data processing system of claim 20, whereinthe data processing system is internal to an image forming system. 26.The data processing system of claim 25, wherein the image forming systemis a digital projection system having projection optics to provide imagelight to a display surface.
 27. The data processing system of claim 20,wherein the image processor is configured to select different colormetamerism correction transforms for use responsive to demographics ofobservers viewing the narrow-band color display device or responsive toa state of adaptation for observers viewing the narrow-band colordisplay device.
 28. The data processing system of claim 20, wherein themetamerism correction transform is predetermined and stored as metadatain association with the input color image.
 29. The data processingsystem of claim 20, wherein the metameric color corrector is configuredto use matrices, single or multi-dimensional look-up tables (LUTs),parametric functions or algorithms, or combinations thereof, to applymetamerism corrections.
 30. The data processing system of claim 20,further comprising an image corrector configured for modifying imagedata to improve image quality using: uniformity corrections; and coloror tone scale corrections.